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Finding the Third Proportional to 63,962 and 89,467

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Solution

The third proportional to 63,962 and 89,467 is: 125,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,962 : 89,467 = 89,467 : x
  2. Step 2: Convert to fraction form
    63,962/89,467 = 89,467/x
  3. Step 3: Cross multiply
    63,962x = 89,467 × 89,467
  4. Step 4: Simplify right side
    63,962x = 8,004,344,089
  5. Step 5: Solve for x
    x = 8,004,344,089/63,962
  6. Step 6: Final answer
    x = 125,142.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.