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Finding the Third Proportional to 126,763 and 194,860

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Solution

The third proportional to 126,763 and 194,860 is: 299,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,763 : 194,860 = 194,860 : x
  2. Step 2: Convert to fraction form
    126,763/194,860 = 194,860/x
  3. Step 3: Cross multiply
    126,763x = 194,860 × 194,860
  4. Step 4: Simplify right side
    126,763x = 37,970,419,600
  5. Step 5: Solve for x
    x = 37,970,419,600/126,763
  6. Step 6: Final answer
    x = 299,538.66

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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.