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Finding the Third Proportional to 63,972 and 89,456

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Solution

The third proportional to 63,972 and 89,456 is: 125,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,972 : 89,456 = 89,456 : x
  2. Step 2: Convert to fraction form
    63,972/89,456 = 89,456/x
  3. Step 3: Cross multiply
    63,972x = 89,456 × 89,456
  4. Step 4: Simplify right side
    63,972x = 8,002,375,936
  5. Step 5: Solve for x
    x = 8,002,375,936/63,972
  6. Step 6: Final answer
    x = 125,091.85

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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.