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Finding the Third Proportional to 63,624 and 95,397

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Solution

The third proportional to 63,624 and 95,397 is: 143,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,624 : 95,397 = 95,397 : x
  2. Step 2: Convert to fraction form
    63,624/95,397 = 95,397/x
  3. Step 3: Cross multiply
    63,624x = 95,397 × 95,397
  4. Step 4: Simplify right side
    63,624x = 9,100,587,609
  5. Step 5: Solve for x
    x = 9,100,587,609/63,624
  6. Step 6: Final answer
    x = 143,037.02

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Why These Related Problems?

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