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Finding the Third Proportional to 54,324.42 and 86,441.13

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Solution

The third proportional to 54,324.42 and 86,441.13 is: 137,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324.42 : 86,441.13 = 86,441.13 : x
  2. Step 2: Convert to fraction form
    54,324.42/86,441.13 = 86,441.13/x
  3. Step 3: Cross multiply
    54,324.42x = 86,441.13 × 86,441.13
  4. Step 4: Simplify right side
    54,324.42x = 7,472,069,441.91
  5. Step 5: Solve for x
    x = 7,472,069,441.91/54,324.42
  6. Step 6: Final answer
    x = 137,545.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.