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Finding the Third Proportional to 54,747 and 81,999

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Solution

The third proportional to 54,747 and 81,999 is: 122,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,747 : 81,999 = 81,999 : x
  2. Step 2: Convert to fraction form
    54,747/81,999 = 81,999/x
  3. Step 3: Cross multiply
    54,747x = 81,999 × 81,999
  4. Step 4: Simplify right side
    54,747x = 6,723,836,001
  5. Step 5: Solve for x
    x = 6,723,836,001/54,747
  6. Step 6: Final answer
    x = 122,816.52

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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.