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Finding the Third Proportional to 84,566 and 185,872

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Solution

The third proportional to 84,566 and 185,872 is: 408,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,566 : 185,872 = 185,872 : x
  2. Step 2: Convert to fraction form
    84,566/185,872 = 185,872/x
  3. Step 3: Cross multiply
    84,566x = 185,872 × 185,872
  4. Step 4: Simplify right side
    84,566x = 34,548,400,384
  5. Step 5: Solve for x
    x = 34,548,400,384/84,566
  6. Step 6: Final answer
    x = 408,537.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.