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Finding the Third Proportional to 55,474 and 83,919

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Solution

The third proportional to 55,474 and 83,919 is: 126,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,474 : 83,919 = 83,919 : x
  2. Step 2: Convert to fraction form
    55,474/83,919 = 83,919/x
  3. Step 3: Cross multiply
    55,474x = 83,919 × 83,919
  4. Step 4: Simplify right side
    55,474x = 7,042,398,561
  5. Step 5: Solve for x
    x = 7,042,398,561/55,474
  6. Step 6: Final answer
    x = 126,949.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.