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Finding the Third Proportional to 87,437 and 187,614

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Solution

The third proportional to 87,437 and 187,614 is: 402,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,437 : 187,614 = 187,614 : x
  2. Step 2: Convert to fraction form
    87,437/187,614 = 187,614/x
  3. Step 3: Cross multiply
    87,437x = 187,614 × 187,614
  4. Step 4: Simplify right side
    87,437x = 35,199,012,996
  5. Step 5: Solve for x
    x = 35,199,012,996/87,437
  6. Step 6: Final answer
    x = 402,564.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.