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Finding the Third Proportional to 131,163.75 and 196,743

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Solution

The third proportional to 131,163.75 and 196,743 is: 295,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,163.75 : 196,743 = 196,743 : x
  2. Step 2: Convert to fraction form
    131,163.75/196,743 = 196,743/x
  3. Step 3: Cross multiply
    131,163.75x = 196,743 × 196,743
  4. Step 4: Simplify right side
    131,163.75x = 38,707,808,049
  5. Step 5: Solve for x
    x = 38,707,808,049/131,163.75
  6. Step 6: Final answer
    x = 295,110.56

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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.