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Finding the Third Proportional to 80,860 and 177,596

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Solution

The third proportional to 80,860 and 177,596 is: 390,061.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,860 : 177,596 = 177,596 : x
  2. Step 2: Convert to fraction form
    80,860/177,596 = 177,596/x
  3. Step 3: Cross multiply
    80,860x = 177,596 × 177,596
  4. Step 4: Simplify right side
    80,860x = 31,540,339,216
  5. Step 5: Solve for x
    x = 31,540,339,216/80,860
  6. Step 6: Final answer
    x = 390,061.08

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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.