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Finding the Third Proportional to 80,943 and 171,748

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Solution

The third proportional to 80,943 and 171,748 is: 364,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,943 : 171,748 = 171,748 : x
  2. Step 2: Convert to fraction form
    80,943/171,748 = 171,748/x
  3. Step 3: Cross multiply
    80,943x = 171,748 × 171,748
  4. Step 4: Simplify right side
    80,943x = 29,497,375,504
  5. Step 5: Solve for x
    x = 29,497,375,504/80,943
  6. Step 6: Final answer
    x = 364,421.57

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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.