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Finding the Third Proportional to 80,841 and 175,672

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Solution

The third proportional to 80,841 and 175,672 is: 381,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,841 : 175,672 = 175,672 : x
  2. Step 2: Convert to fraction form
    80,841/175,672 = 175,672/x
  3. Step 3: Cross multiply
    80,841x = 175,672 × 175,672
  4. Step 4: Simplify right side
    80,841x = 30,860,651,584
  5. Step 5: Solve for x
    x = 30,860,651,584/80,841
  6. Step 6: Final answer
    x = 381,745.05

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Why These Related Problems?

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