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Finding the Third Proportional to 81,744 and 126,296

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Solution

The third proportional to 81,744 and 126,296 is: 195,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,744 : 126,296 = 126,296 : x
  2. Step 2: Convert to fraction form
    81,744/126,296 = 126,296/x
  3. Step 3: Cross multiply
    81,744x = 126,296 × 126,296
  4. Step 4: Simplify right side
    81,744x = 15,950,679,616
  5. Step 5: Solve for x
    x = 15,950,679,616/81,744
  6. Step 6: Final answer
    x = 195,129.67

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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.