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Finding the Third Proportional to 80,171 and 173,180

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Solution

The third proportional to 80,171 and 173,180 is: 374,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,171 : 173,180 = 173,180 : x
  2. Step 2: Convert to fraction form
    80,171/173,180 = 173,180/x
  3. Step 3: Cross multiply
    80,171x = 173,180 × 173,180
  4. Step 4: Simplify right side
    80,171x = 29,991,312,400
  5. Step 5: Solve for x
    x = 29,991,312,400/80,171
  6. Step 6: Final answer
    x = 374,091.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.