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Finding the Third Proportional to 63,744 and 140,068

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Solution

The third proportional to 63,744 and 140,068 is: 307,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,744 : 140,068 = 140,068 : x
  2. Step 2: Convert to fraction form
    63,744/140,068 = 140,068/x
  3. Step 3: Cross multiply
    63,744x = 140,068 × 140,068
  4. Step 4: Simplify right side
    63,744x = 19,619,044,624
  5. Step 5: Solve for x
    x = 19,619,044,624/63,744
  6. Step 6: Final answer
    x = 307,778.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.