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Finding the Third Proportional to 126,777 and 194,883

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Solution

The third proportional to 126,777 and 194,883 is: 299,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,777 : 194,883 = 194,883 : x
  2. Step 2: Convert to fraction form
    126,777/194,883 = 194,883/x
  3. Step 3: Cross multiply
    126,777x = 194,883 × 194,883
  4. Step 4: Simplify right side
    126,777x = 37,979,383,689
  5. Step 5: Solve for x
    x = 37,979,383,689/126,777
  6. Step 6: Final answer
    x = 299,576.29

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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.