Finding the Third Proportional to 77,940 and 169,162
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Solution
The third proportional to 77,940 and 169,162 is: 367,151.43
Step by Step Solution
- Step 1: Write the proportion equation
77,940 : 169,162 = 169,162 : x - Step 2: Convert to fraction form
77,940/169,162 = 169,162/x - Step 3: Cross multiply
77,940x = 169,162 × 169,162 - Step 4: Simplify right side
77,940x = 28,615,782,244 - Step 5: Solve for x
x = 28,615,782,244/77,940 - Step 6: Final answer
x = 367,151.43
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.