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Finding the Third Proportional to 131,233.50 and 194,082.75

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Solution

The third proportional to 131,233.50 and 194,082.75 is: 287,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,233.50 : 194,082.75 = 194,082.75 : x
  2. Step 2: Convert to fraction form
    131,233.50/194,082.75 = 194,082.75/x
  3. Step 3: Cross multiply
    131,233.50x = 194,082.75 × 194,082.75
  4. Step 4: Simplify right side
    131,233.50x = 37,668,113,847.56
  5. Step 5: Solve for x
    x = 37,668,113,847.56/131,233.50
  6. Step 6: Final answer
    x = 287,031.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.