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Finding the Third Proportional to 126,744.75 and 194,889.38

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Solution

The third proportional to 126,744.75 and 194,889.38 is: 299,672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,744.75 : 194,889.38 = 194,889.38 : x
  2. Step 2: Convert to fraction form
    126,744.75/194,889.38 = 194,889.38/x
  3. Step 3: Cross multiply
    126,744.75x = 194,889.38 × 194,889.38
  4. Step 4: Simplify right side
    126,744.75x = 37,981,868,487.89
  5. Step 5: Solve for x
    x = 37,981,868,487.89/126,744.75
  6. Step 6: Final answer
    x = 299,672.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.