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Finding the Third Proportional to 54,178.50 and 71,908.13

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Solution

The third proportional to 54,178.50 and 71,908.13 is: 95,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,178.50 : 71,908.13 = 71,908.13 : x
  2. Step 2: Convert to fraction form
    54,178.50/71,908.13 = 71,908.13/x
  3. Step 3: Cross multiply
    54,178.50x = 71,908.13 × 71,908.13
  4. Step 4: Simplify right side
    54,178.50x = 5,170,778,441.02
  5. Step 5: Solve for x
    x = 5,170,778,441.02/54,178.50
  6. Step 6: Final answer
    x = 95,439.68

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.