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Finding the Third Proportional to 87,744.50 and 135,751

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Solution

The third proportional to 87,744.50 and 135,751 is: 210,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,744.50 : 135,751 = 135,751 : x
  2. Step 2: Convert to fraction form
    87,744.50/135,751 = 135,751/x
  3. Step 3: Cross multiply
    87,744.50x = 135,751 × 135,751
  4. Step 4: Simplify right side
    87,744.50x = 18,428,334,001
  5. Step 5: Solve for x
    x = 18,428,334,001/87,744.50
  6. Step 6: Final answer
    x = 210,022.67

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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.