The present invention relates, in part, to ternary azeotropic compositions and mixtures including chlorotrifluoropropene, methanol, and a third component selected from isohexane, trans-1,2-dichloroethylene, and petroleum ether. The present invention further relates to ternary azeotropic compositions and mixtures including chlorotrifluoropropene, cyclopentane, and a alcohol selected from methanol, ethanol, and isopropanol.