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Finding the Third Proportional to 87,532 and 187,519

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Solution

The third proportional to 87,532 and 187,519 is: 401,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,532 : 187,519 = 187,519 : x
  2. Step 2: Convert to fraction form
    87,532/187,519 = 187,519/x
  3. Step 3: Cross multiply
    87,532x = 187,519 × 187,519
  4. Step 4: Simplify right side
    87,532x = 35,163,375,361
  5. Step 5: Solve for x
    x = 35,163,375,361/87,532
  6. Step 6: Final answer
    x = 401,720.23

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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.