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Finding the Third Proportional to 62,716 and 92,066

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Solution

The third proportional to 62,716 and 92,066 is: 135,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,716 : 92,066 = 92,066 : x
  2. Step 2: Convert to fraction form
    62,716/92,066 = 92,066/x
  3. Step 3: Cross multiply
    62,716x = 92,066 × 92,066
  4. Step 4: Simplify right side
    62,716x = 8,476,148,356
  5. Step 5: Solve for x
    x = 8,476,148,356/62,716
  6. Step 6: Final answer
    x = 135,151.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.