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Finding the Third Proportional to 62,537 and 96,727

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Solution

The third proportional to 62,537 and 96,727 is: 149,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,537 : 96,727 = 96,727 : x
  2. Step 2: Convert to fraction form
    62,537/96,727 = 96,727/x
  3. Step 3: Cross multiply
    62,537x = 96,727 × 96,727
  4. Step 4: Simplify right side
    62,537x = 9,356,112,529
  5. Step 5: Solve for x
    x = 9,356,112,529/62,537
  6. Step 6: Final answer
    x = 149,609.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.