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Finding the Third Proportional to 47,872.50 and 73,104.75

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Solution

The third proportional to 47,872.50 and 73,104.75 is: 111,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.50 : 73,104.75 = 73,104.75 : x
  2. Step 2: Convert to fraction form
    47,872.50/73,104.75 = 73,104.75/x
  3. Step 3: Cross multiply
    47,872.50x = 73,104.75 × 73,104.75
  4. Step 4: Simplify right side
    47,872.50x = 5,344,304,472.56
  5. Step 5: Solve for x
    x = 5,344,304,472.56/47,872.50
  6. Step 6: Final answer
    x = 111,636.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.