ΔE 33.7, loose: different enough that you should pick on purpose. Mahogany Ink is more muted, warmer than Transparent Turquoise.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 34). Mahogany Ink is more muted, warmer than Transparent Turquoise.
The same difference applies the other way round: Transparent Turquoise is more saturated, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Transparent Turquoise on the colour wheel See Mahogany Ink on the colour wheel
All matches: Transparent Turquoise equivalents · Mahogany Ink equivalents