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Finding the Third Proportional to 62,234 and 98,949

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Solution

The third proportional to 62,234 and 98,949 is: 157,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,234 : 98,949 = 98,949 : x
  2. Step 2: Convert to fraction form
    62,234/98,949 = 98,949/x
  3. Step 3: Cross multiply
    62,234x = 98,949 × 98,949
  4. Step 4: Simplify right side
    62,234x = 9,790,904,601
  5. Step 5: Solve for x
    x = 9,790,904,601/62,234
  6. Step 6: Final answer
    x = 157,324.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.