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Finding the Third Proportional to 80,872.50 and 175,861.50

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Solution

The third proportional to 80,872.50 and 175,861.50 is: 382,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,872.50 : 175,861.50 = 175,861.50 : x
  2. Step 2: Convert to fraction form
    80,872.50/175,861.50 = 175,861.50/x
  3. Step 3: Cross multiply
    80,872.50x = 175,861.50 × 175,861.50
  4. Step 4: Simplify right side
    80,872.50x = 30,927,267,182.25
  5. Step 5: Solve for x
    x = 30,927,267,182.25/80,872.50
  6. Step 6: Final answer
    x = 382,420.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.