Equitation rhymes with:
accreditation, agitation, amputation, annotation, cohabitation, commutation, computation, connotation, dilatation, facilitation, habitation, hesitation, imitation, imputation, inhabitation, meditation, misinterpretation, palpitation, premeditation, prestidigitation, recitation, rehabilitation, reinterpretation, reputation, sanitation, vegetation, visitation
Equitation sounds like:
eastham, eastin, eastman, easton, echidna, eckstein, ecosystem, ecton, eighteen, ejection, equation, estan, esteem, estonia, estonian, exaction, excitation, execution, executone, exhaustion, exton, eyestone