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Finding the Third Proportional to 87,549 and 170,723

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Solution

The third proportional to 87,549 and 170,723 is: 332,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,549 : 170,723 = 170,723 : x
  2. Step 2: Convert to fraction form
    87,549/170,723 = 170,723/x
  3. Step 3: Cross multiply
    87,549x = 170,723 × 170,723
  4. Step 4: Simplify right side
    87,549x = 29,146,342,729
  5. Step 5: Solve for x
    x = 29,146,342,729/87,549
  6. Step 6: Final answer
    x = 332,914.63

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.