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Finding the Third Proportional to 54,380.25 and 84,036.38

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Solution

The third proportional to 54,380.25 and 84,036.38 is: 129,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,380.25 : 84,036.38 = 84,036.38 : x
  2. Step 2: Convert to fraction form
    54,380.25/84,036.38 = 84,036.38/x
  3. Step 3: Cross multiply
    54,380.25x = 84,036.38 × 84,036.38
  4. Step 4: Simplify right side
    54,380.25x = 7,062,112,323.14
  5. Step 5: Solve for x
    x = 7,062,112,323.14/54,380.25
  6. Step 6: Final answer
    x = 129,865.39

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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.