GM(9, 27) = sqrt(9*27) = 15.5885 approx.
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No, 6 is.
The geometric mean of 9 and 81 is 27.0
The geometric mean of 9 and 25 is: 15.0
Look 2 and 8, their geometric mean is square root of 16 which is 4 and between 2 and 54. 9 and 4 have a geometric mean of 6 which is also between 2 and 54. Is this what you mean? Pun intended... The geometric mean of 2 and 54 is square root of 108.
Geometric mean of 9 and 16 is 12. Look at link: "Calculation of the geometric mean of two numbers".