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Finding the Third Proportional to 59,474.25 and 123,882.75

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Solution

The third proportional to 59,474.25 and 123,882.75 is: 258,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,474.25 : 123,882.75 = 123,882.75 : x
  2. Step 2: Convert to fraction form
    59,474.25/123,882.75 = 123,882.75/x
  3. Step 3: Cross multiply
    59,474.25x = 123,882.75 × 123,882.75
  4. Step 4: Simplify right side
    59,474.25x = 15,346,935,747.56
  5. Step 5: Solve for x
    x = 15,346,935,747.56/59,474.25
  6. Step 6: Final answer
    x = 258,043.37

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.