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Finding the Third Proportional to 54,491.06 and 82,051.31

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Solution

The third proportional to 54,491.06 and 82,051.31 is: 123,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,491.06 : 82,051.31 = 82,051.31 : x
  2. Step 2: Convert to fraction form
    54,491.06/82,051.31 = 82,051.31/x
  3. Step 3: Cross multiply
    54,491.06x = 82,051.31 × 82,051.31
  4. Step 4: Simplify right side
    54,491.06x = 6,732,417,882.97
  5. Step 5: Solve for x
    x = 6,732,417,882.97/54,491.06
  6. Step 6: Final answer
    x = 123,550.86

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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.