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Finding the Third Proportional to 87,486 and 185,908

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Solution

The third proportional to 87,486 and 185,908 is: 395,055.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,486 : 185,908 = 185,908 : x
  2. Step 2: Convert to fraction form
    87,486/185,908 = 185,908/x
  3. Step 3: Cross multiply
    87,486x = 185,908 × 185,908
  4. Step 4: Simplify right side
    87,486x = 34,561,784,464
  5. Step 5: Solve for x
    x = 34,561,784,464/87,486
  6. Step 6: Final answer
    x = 395,055.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.