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Finding the Third Proportional to 54,443.25 and 81,982.13

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Solution

The third proportional to 54,443.25 and 81,982.13 is: 123,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,443.25 : 81,982.13 = 81,982.13 : x
  2. Step 2: Convert to fraction form
    54,443.25/81,982.13 = 81,982.13/x
  3. Step 3: Cross multiply
    54,443.25x = 81,982.13 × 81,982.13
  4. Step 4: Simplify right side
    54,443.25x = 6,721,068,819.52
  5. Step 5: Solve for x
    x = 6,721,068,819.52/54,443.25
  6. Step 6: Final answer
    x = 123,450.91

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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.