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Finding the Third Proportional to 126,936 and 195,908

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Solution

The third proportional to 126,936 and 195,908 is: 302,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,936 : 195,908 = 195,908 : x
  2. Step 2: Convert to fraction form
    126,936/195,908 = 195,908/x
  3. Step 3: Cross multiply
    126,936x = 195,908 × 195,908
  4. Step 4: Simplify right side
    126,936x = 38,379,944,464
  5. Step 5: Solve for x
    x = 38,379,944,464/126,936
  6. Step 6: Final answer
    x = 302,356.66

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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.