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Finding the Third Proportional to 54,521.25 and 111,047.25

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Solution

The third proportional to 54,521.25 and 111,047.25 is: 226,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,521.25 : 111,047.25 = 111,047.25 : x
  2. Step 2: Convert to fraction form
    54,521.25/111,047.25 = 111,047.25/x
  3. Step 3: Cross multiply
    54,521.25x = 111,047.25 × 111,047.25
  4. Step 4: Simplify right side
    54,521.25x = 12,331,491,732.56
  5. Step 5: Solve for x
    x = 12,331,491,732.56/54,521.25
  6. Step 6: Final answer
    x = 226,177.71

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.