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Finding the Third Proportional to 87,524 and 187,503

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Solution

The third proportional to 87,524 and 187,503 is: 401,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,524 : 187,503 = 187,503 : x
  2. Step 2: Convert to fraction form
    87,524/187,503 = 187,503/x
  3. Step 3: Cross multiply
    87,524x = 187,503 × 187,503
  4. Step 4: Simplify right side
    87,524x = 35,157,375,009
  5. Step 5: Solve for x
    x = 35,157,375,009/87,524
  6. Step 6: Final answer
    x = 401,688.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.