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Finding the Third Proportional to 80,698 and 125,467

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Solution

The third proportional to 80,698 and 125,467 is: 195,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,698 : 125,467 = 125,467 : x
  2. Step 2: Convert to fraction form
    80,698/125,467 = 125,467/x
  3. Step 3: Cross multiply
    80,698x = 125,467 × 125,467
  4. Step 4: Simplify right side
    80,698x = 15,741,968,089
  5. Step 5: Solve for x
    x = 15,741,968,089/80,698
  6. Step 6: Final answer
    x = 195,072.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.