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Finding the Third Proportional to 80,164 and 125,098

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Solution

The third proportional to 80,164 and 125,098 is: 195,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,164 : 125,098 = 125,098 : x
  2. Step 2: Convert to fraction form
    80,164/125,098 = 125,098/x
  3. Step 3: Cross multiply
    80,164x = 125,098 × 125,098
  4. Step 4: Simplify right side
    80,164x = 15,649,509,604
  5. Step 5: Solve for x
    x = 15,649,509,604/80,164
  6. Step 6: Final answer
    x = 195,218.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.