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Finding the Third Proportional to 63,759 and 140,099

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Solution

The third proportional to 63,759 and 140,099 is: 307,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,759 : 140,099 = 140,099 : x
  2. Step 2: Convert to fraction form
    63,759/140,099 = 140,099/x
  3. Step 3: Cross multiply
    63,759x = 140,099 × 140,099
  4. Step 4: Simplify right side
    63,759x = 19,627,729,801
  5. Step 5: Solve for x
    x = 19,627,729,801/63,759
  6. Step 6: Final answer
    x = 307,842.50

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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.