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Finding the Third Proportional to 49,982 and 106,588

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Solution

The third proportional to 49,982 and 106,588 is: 227,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,982 : 106,588 = 106,588 : x
  2. Step 2: Convert to fraction form
    49,982/106,588 = 106,588/x
  3. Step 3: Cross multiply
    49,982x = 106,588 × 106,588
  4. Step 4: Simplify right side
    49,982x = 11,361,001,744
  5. Step 5: Solve for x
    x = 11,361,001,744/49,982
  6. Step 6: Final answer
    x = 227,301.86

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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.