We present scaling relations between the integrated Sunyaev-Zel'dovich Effect (SZE) signal, Y SZ , its X-ray analogue, Y X ≡M gas T X , and total mass, M tot , for the 45 galaxy clusters in the Bolocam X-ray-SZ (BOXSZ) sample. All parameters are integrated within r 2500 . Y 2500 values are measured using SZE data collected with Bolocam, operating at 140 GHz at the Caltech Submillimeter Observatory (CSO). The temperature, T X , and mass, M gas,2500 , of the intracluster medium are determined using X-ray data collected with Chandra, and M tot is derived from M gas assuming a constant gas mass fraction. Our analysis accounts for several potential sources of bias, including: selection effects, contamination from radio point sources, and the loss of SZE signal due to noise filtering and beam-smoothing effects. We measure the Y 2500 -Y X scaling to have a power-law index of 0.84 ± 0.07, and a fractional intrinsic scatter in Y 2500 of (21 ± 7)% at fixed Y X , both of which are consistent with previous analyses. We also measure the scaling between Y 2500 and M 2500 , finding a power-law index of 1.06 ± 0.12 and a fractional intrinsic scatter in Y 2500 at fixed mass of (25 ± 9)%. While recent SZE scaling relations using X-ray mass proxies have found power-law indices consistent with the self-similar prediction of 5/3, our measurement stands apart by differing from the self-similar prediction by approximately 5σ. Given the good agreement between the measured Y 2500 -Y X scalings, much of this discrepancy appears to be caused by differences in the calibration of the X-ray mass proxies adopted for each particular analysis.