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Finding the Third Proportional to 87,522 and 131,363

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Solution

The third proportional to 87,522 and 131,363 is: 197,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,522 : 131,363 = 131,363 : x
  2. Step 2: Convert to fraction form
    87,522/131,363 = 131,363/x
  3. Step 3: Cross multiply
    87,522x = 131,363 × 131,363
  4. Step 4: Simplify right side
    87,522x = 17,256,237,769
  5. Step 5: Solve for x
    x = 17,256,237,769/87,522
  6. Step 6: Final answer
    x = 197,164.57

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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.