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Finding the Third Proportional to 49,444 and 108,974

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Solution

The third proportional to 49,444 and 108,974 is: 240,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,444 : 108,974 = 108,974 : x
  2. Step 2: Convert to fraction form
    49,444/108,974 = 108,974/x
  3. Step 3: Cross multiply
    49,444x = 108,974 × 108,974
  4. Step 4: Simplify right side
    49,444x = 11,875,332,676
  5. Step 5: Solve for x
    x = 11,875,332,676/49,444
  6. Step 6: Final answer
    x = 240,177.43

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