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Finding the Third Proportional to 54,398.25 and 84,067.88

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Solution

The third proportional to 54,398.25 and 84,067.88 is: 129,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,398.25 : 84,067.88 = 84,067.88 : x
  2. Step 2: Convert to fraction form
    54,398.25/84,067.88 = 84,067.88/x
  3. Step 3: Cross multiply
    54,398.25x = 84,067.88 × 84,067.88
  4. Step 4: Simplify right side
    54,398.25x = 7,067,407,607.02
  5. Step 5: Solve for x
    x = 7,067,407,607.02/54,398.25
  6. Step 6: Final answer
    x = 129,919.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.