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Finding the Third Proportional to 87,014 and 185,408

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Solution

The third proportional to 87,014 and 185,408 is: 395,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,014 : 185,408 = 185,408 : x
  2. Step 2: Convert to fraction form
    87,014/185,408 = 185,408/x
  3. Step 3: Cross multiply
    87,014x = 185,408 × 185,408
  4. Step 4: Simplify right side
    87,014x = 34,376,126,464
  5. Step 5: Solve for x
    x = 34,376,126,464/87,014
  6. Step 6: Final answer
    x = 395,064.32

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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.