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Finding the Third Proportional to 54,691.59 and 84,370.78

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Solution

The third proportional to 54,691.59 and 84,370.78 is: 130,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,691.59 : 84,370.78 = 84,370.78 : x
  2. Step 2: Convert to fraction form
    54,691.59/84,370.78 = 84,370.78/x
  3. Step 3: Cross multiply
    54,691.59x = 84,370.78 × 84,370.78
  4. Step 4: Simplify right side
    54,691.59x = 7,118,428,728.74
  5. Step 5: Solve for x
    x = 7,118,428,728.74/54,691.59
  6. Step 6: Final answer
    x = 130,155.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.