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Finding the Third Proportional to 80,842 and 123,571

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Solution

The third proportional to 80,842 and 123,571 is: 188,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,842 : 123,571 = 123,571 : x
  2. Step 2: Convert to fraction form
    80,842/123,571 = 123,571/x
  3. Step 3: Cross multiply
    80,842x = 123,571 × 123,571
  4. Step 4: Simplify right side
    80,842x = 15,269,792,041
  5. Step 5: Solve for x
    x = 15,269,792,041/80,842
  6. Step 6: Final answer
    x = 188,884.39

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Why These Related Problems?

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