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Finding the Third Proportional to 87,527 and 96,549

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Solution

The third proportional to 87,527 and 96,549 is: 106,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,527 : 96,549 = 96,549 : x
  2. Step 2: Convert to fraction form
    87,527/96,549 = 96,549/x
  3. Step 3: Cross multiply
    87,527x = 96,549 × 96,549
  4. Step 4: Simplify right side
    87,527x = 9,321,709,401
  5. Step 5: Solve for x
    x = 9,321,709,401/87,527
  6. Step 6: Final answer
    x = 106,500.96

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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.