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Finding the Third Proportional to 63,869.75 and 131,839.50

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Solution

The third proportional to 63,869.75 and 131,839.50 is: 272,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,869.75 : 131,839.50 = 131,839.50 : x
  2. Step 2: Convert to fraction form
    63,869.75/131,839.50 = 131,839.50/x
  3. Step 3: Cross multiply
    63,869.75x = 131,839.50 × 131,839.50
  4. Step 4: Simplify right side
    63,869.75x = 17,381,653,760.25
  5. Step 5: Solve for x
    x = 17,381,653,760.25/63,869.75
  6. Step 6: Final answer
    x = 272,142.19

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.