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Finding the Third Proportional to 126,961 and 192,935

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Solution

The third proportional to 126,961 and 192,935 is: 293,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,961 : 192,935 = 192,935 : x
  2. Step 2: Convert to fraction form
    126,961/192,935 = 192,935/x
  3. Step 3: Cross multiply
    126,961x = 192,935 × 192,935
  4. Step 4: Simplify right side
    126,961x = 37,223,914,225
  5. Step 5: Solve for x
    x = 37,223,914,225/126,961
  6. Step 6: Final answer
    x = 293,191.72

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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.