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Finding the Third Proportional to 54,418.92 and 82,449.98

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Solution

The third proportional to 54,418.92 and 82,449.98 is: 124,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,418.92 : 82,449.98 = 82,449.98 : x
  2. Step 2: Convert to fraction form
    54,418.92/82,449.98 = 82,449.98/x
  3. Step 3: Cross multiply
    54,418.92x = 82,449.98 × 82,449.98
  4. Step 4: Simplify right side
    54,418.92x = 6,797,999,923.44
  5. Step 5: Solve for x
    x = 6,797,999,923.44/54,418.92
  6. Step 6: Final answer
    x = 124,919.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.