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Finding the Third Proportional to 84,250 and 126,717

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Solution

The third proportional to 84,250 and 126,717 is: 190,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,250 : 126,717 = 126,717 : x
  2. Step 2: Convert to fraction form
    84,250/126,717 = 126,717/x
  3. Step 3: Cross multiply
    84,250x = 126,717 × 126,717
  4. Step 4: Simplify right side
    84,250x = 16,057,198,089
  5. Step 5: Solve for x
    x = 16,057,198,089/84,250
  6. Step 6: Final answer
    x = 190,589.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.