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Finding the Third Proportional to 54,044 and 80,849

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Solution

The third proportional to 54,044 and 80,849 is: 120,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,044 : 80,849 = 80,849 : x
  2. Step 2: Convert to fraction form
    54,044/80,849 = 80,849/x
  3. Step 3: Cross multiply
    54,044x = 80,849 × 80,849
  4. Step 4: Simplify right side
    54,044x = 6,536,560,801
  5. Step 5: Solve for x
    x = 6,536,560,801/54,044
  6. Step 6: Final answer
    x = 120,948.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.