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Finding the Third Proportional to 80,943 and 171,749

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Solution

The third proportional to 80,943 and 171,749 is: 364,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,943 : 171,749 = 171,749 : x
  2. Step 2: Convert to fraction form
    80,943/171,749 = 171,749/x
  3. Step 3: Cross multiply
    80,943x = 171,749 × 171,749
  4. Step 4: Simplify right side
    80,943x = 29,497,719,001
  5. Step 5: Solve for x
    x = 29,497,719,001/80,943
  6. Step 6: Final answer
    x = 364,425.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.