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Finding the Third Proportional to 80,872.50 and 175,914.75

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Solution

The third proportional to 80,872.50 and 175,914.75 is: 382,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,872.50 : 175,914.75 = 175,914.75 : x
  2. Step 2: Convert to fraction form
    80,872.50/175,914.75 = 175,914.75/x
  3. Step 3: Cross multiply
    80,872.50x = 175,914.75 × 175,914.75
  4. Step 4: Simplify right side
    80,872.50x = 30,945,999,267.56
  5. Step 5: Solve for x
    x = 30,945,999,267.56/80,872.50
  6. Step 6: Final answer
    x = 382,651.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.