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Finding the Third Proportional to 87,023.25 and 185,427

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Solution

The third proportional to 87,023.25 and 185,427 is: 395,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,023.25 : 185,427 = 185,427 : x
  2. Step 2: Convert to fraction form
    87,023.25/185,427 = 185,427/x
  3. Step 3: Cross multiply
    87,023.25x = 185,427 × 185,427
  4. Step 4: Simplify right side
    87,023.25x = 34,383,172,329
  5. Step 5: Solve for x
    x = 34,383,172,329/87,023.25
  6. Step 6: Final answer
    x = 395,103.29

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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.