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Finding the Third Proportional to 80,932 and 177,925

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Solution

The third proportional to 80,932 and 177,925 is: 391,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,932 : 177,925 = 177,925 : x
  2. Step 2: Convert to fraction form
    80,932/177,925 = 177,925/x
  3. Step 3: Cross multiply
    80,932x = 177,925 × 177,925
  4. Step 4: Simplify right side
    80,932x = 31,657,305,625
  5. Step 5: Solve for x
    x = 31,657,305,625/80,932
  6. Step 6: Final answer
    x = 391,159.31

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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.