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Finding the Third Proportional to 87,639 and 96,027

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Solution

The third proportional to 87,639 and 96,027 is: 105,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,639 : 96,027 = 96,027 : x
  2. Step 2: Convert to fraction form
    87,639/96,027 = 96,027/x
  3. Step 3: Cross multiply
    87,639x = 96,027 × 96,027
  4. Step 4: Simplify right side
    87,639x = 9,221,184,729
  5. Step 5: Solve for x
    x = 9,221,184,729/87,639
  6. Step 6: Final answer
    x = 105,217.82

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.