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Finding the Third Proportional to 126,959 and 192,932

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Solution

The third proportional to 126,959 and 192,932 is: 293,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,959 : 192,932 = 192,932 : x
  2. Step 2: Convert to fraction form
    126,959/192,932 = 192,932/x
  3. Step 3: Cross multiply
    126,959x = 192,932 × 192,932
  4. Step 4: Simplify right side
    126,959x = 37,222,756,624
  5. Step 5: Solve for x
    x = 37,222,756,624/126,959
  6. Step 6: Final answer
    x = 293,187.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.