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Finding the Third Proportional to 71,872.50 and 107,979.75

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Solution

The third proportional to 71,872.50 and 107,979.75 is: 162,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872.50 : 107,979.75 = 107,979.75 : x
  2. Step 2: Convert to fraction form
    71,872.50/107,979.75 = 107,979.75/x
  3. Step 3: Cross multiply
    71,872.50x = 107,979.75 × 107,979.75
  4. Step 4: Simplify right side
    71,872.50x = 11,659,626,410.06
  5. Step 5: Solve for x
    x = 11,659,626,410.06/71,872.50
  6. Step 6: Final answer
    x = 162,226.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.