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Finding the Third Proportional to 87,372 and 187,488

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Solution

The third proportional to 87,372 and 187,488 is: 402,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,372 : 187,488 = 187,488 : x
  2. Step 2: Convert to fraction form
    87,372/187,488 = 187,488/x
  3. Step 3: Cross multiply
    87,372x = 187,488 × 187,488
  4. Step 4: Simplify right side
    87,372x = 35,151,750,144
  5. Step 5: Solve for x
    x = 35,151,750,144/87,372
  6. Step 6: Final answer
    x = 402,322.83

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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.