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Finding the Third Proportional to 138,134 and 194,976

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Solution

The third proportional to 138,134 and 194,976 is: 275,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,134 : 194,976 = 194,976 : x
  2. Step 2: Convert to fraction form
    138,134/194,976 = 194,976/x
  3. Step 3: Cross multiply
    138,134x = 194,976 × 194,976
  4. Step 4: Simplify right side
    138,134x = 38,015,640,576
  5. Step 5: Solve for x
    x = 38,015,640,576/138,134
  6. Step 6: Final answer
    x = 275,208.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.