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Finding the Third Proportional to 80,532 and 177,170

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Solution

The third proportional to 80,532 and 177,170 is: 389,773.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,532 : 177,170 = 177,170 : x
  2. Step 2: Convert to fraction form
    80,532/177,170 = 177,170/x
  3. Step 3: Cross multiply
    80,532x = 177,170 × 177,170
  4. Step 4: Simplify right side
    80,532x = 31,389,208,900
  5. Step 5: Solve for x
    x = 31,389,208,900/80,532
  6. Step 6: Final answer
    x = 389,773.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.