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Finding the Third Proportional to 126,781.50 and 194,889.75

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Solution

The third proportional to 126,781.50 and 194,889.75 is: 299,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,781.50 : 194,889.75 = 194,889.75 : x
  2. Step 2: Convert to fraction form
    126,781.50/194,889.75 = 194,889.75/x
  3. Step 3: Cross multiply
    126,781.50x = 194,889.75 × 194,889.75
  4. Step 4: Simplify right side
    126,781.50x = 37,982,014,655.06
  5. Step 5: Solve for x
    x = 37,982,014,655.06/126,781.50
  6. Step 6: Final answer
    x = 299,586.41

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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.