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Finding the Third Proportional to 63,542 and 95,005

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Solution

The third proportional to 63,542 and 95,005 is: 142,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,542 : 95,005 = 95,005 : x
  2. Step 2: Convert to fraction form
    63,542/95,005 = 95,005/x
  3. Step 3: Cross multiply
    63,542x = 95,005 × 95,005
  4. Step 4: Simplify right side
    63,542x = 9,025,950,025
  5. Step 5: Solve for x
    x = 9,025,950,025/63,542
  6. Step 6: Final answer
    x = 142,046.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.