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Finding the Third Proportional to 62,639 and 96,949

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Solution

The third proportional to 62,639 and 96,949 is: 150,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,639 : 96,949 = 96,949 : x
  2. Step 2: Convert to fraction form
    62,639/96,949 = 96,949/x
  3. Step 3: Cross multiply
    62,639x = 96,949 × 96,949
  4. Step 4: Simplify right side
    62,639x = 9,399,108,601
  5. Step 5: Solve for x
    x = 9,399,108,601/62,639
  6. Step 6: Final answer
    x = 150,052.02

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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.