Question
Show that $48, 60, 75$ are in continued proportion.

Answer

Consider $48 : 60 : : 60 : 75$
Product of means $= 60 \times 60 = 3600$
Product of extremes $= 48 \times 75 = 3600$
So product of means = Product of extremes
Hence, $48, 60, 75$ are in continued proportion.

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