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Finding the Third Proportional to 62,404 and 95,921

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Solution

The third proportional to 62,404 and 95,921 is: 147,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,404 : 95,921 = 95,921 : x
  2. Step 2: Convert to fraction form
    62,404/95,921 = 95,921/x
  3. Step 3: Cross multiply
    62,404x = 95,921 × 95,921
  4. Step 4: Simplify right side
    62,404x = 9,200,838,241
  5. Step 5: Solve for x
    x = 9,200,838,241/62,404
  6. Step 6: Final answer
    x = 147,439.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.