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Finding the Third Proportional to 126,761.25 and 194,858.25

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Solution

The third proportional to 126,761.25 and 194,858.25 is: 299,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,761.25 : 194,858.25 = 194,858.25 : x
  2. Step 2: Convert to fraction form
    126,761.25/194,858.25 = 194,858.25/x
  3. Step 3: Cross multiply
    126,761.25x = 194,858.25 × 194,858.25
  4. Step 4: Simplify right side
    126,761.25x = 37,969,737,593.06
  5. Step 5: Solve for x
    x = 37,969,737,593.06/126,761.25
  6. Step 6: Final answer
    x = 299,537.42

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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.