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Finding the Third Proportional to 54,494 and 81,923

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Solution

The third proportional to 54,494 and 81,923 is: 123,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,494 : 81,923 = 81,923 : x
  2. Step 2: Convert to fraction form
    54,494/81,923 = 81,923/x
  3. Step 3: Cross multiply
    54,494x = 81,923 × 81,923
  4. Step 4: Simplify right side
    54,494x = 6,711,377,929
  5. Step 5: Solve for x
    x = 6,711,377,929/54,494
  6. Step 6: Final answer
    x = 123,158.11

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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.