Here's what rhymes with propitous.
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prodigious ditches litigious religious bridges riches ridges witches prestigious irreligious midges switches nonreligious propitious pittance business distance appearance witness bishops ambitious fitness vicious tickets admittance auspicious citrus litmus papyrus pickets bigness billets dimness discus officious pivots bigots cirrus pickups villus witless assistance minutes limits spirits thickness visits adherence mistress sickness suspicious delicious digits judicious malicious pernicious richness stiffness stillness bacillus biscuits capricious fearless viscous assiduous eyewitness grimace listless reappearance rivets seditious thickets factitious hillocks remittance repetitious sinless sinuous unfitness beardless nimbus profitless unpropitious wickets resistance assistants clearance disappearance forgiveness persistence subsistence adherents fictitious brilliance pigments archbishops elicits frigates nutritious quickness strictness swiftness trinkets avaricious crickets eucalyptus injudicious resistless surreptitious transmittance triplets agribusiness hibiscus existence commitments insistence coherence perseverance shipments superstitious hindrance prohibits adventitious diffidence distinctness meniscus reminiscence consistence expeditious indigence coefficients interference exhibits inhibits contingents coexistence delinquents incoherence nonexistence infringements