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Finding the Third Proportional to 80,860 and 170,096

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Solution

The third proportional to 80,860 and 170,096 is: 357,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,860 : 170,096 = 170,096 : x
  2. Step 2: Convert to fraction form
    80,860/170,096 = 170,096/x
  3. Step 3: Cross multiply
    80,860x = 170,096 × 170,096
  4. Step 4: Simplify right side
    80,860x = 28,932,649,216
  5. Step 5: Solve for x
    x = 28,932,649,216/80,860
  6. Step 6: Final answer
    x = 357,811.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.