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Finding the Third Proportional to 87,048 and 131,552

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Solution

The third proportional to 87,048 and 131,552 is: 198,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,048 : 131,552 = 131,552 : x
  2. Step 2: Convert to fraction form
    87,048/131,552 = 131,552/x
  3. Step 3: Cross multiply
    87,048x = 131,552 × 131,552
  4. Step 4: Simplify right side
    87,048x = 17,305,928,704
  5. Step 5: Solve for x
    x = 17,305,928,704/87,048
  6. Step 6: Final answer
    x = 198,809.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.