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Finding the Third Proportional to 49,549 and 108,939

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Solution

The third proportional to 49,549 and 108,939 is: 239,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,549 : 108,939 = 108,939 : x
  2. Step 2: Convert to fraction form
    49,549/108,939 = 108,939/x
  3. Step 3: Cross multiply
    49,549x = 108,939 × 108,939
  4. Step 4: Simplify right side
    49,549x = 11,867,705,721
  5. Step 5: Solve for x
    x = 11,867,705,721/49,549
  6. Step 6: Final answer
    x = 239,514.54

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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.