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Finding the Third Proportional to 138,214 and 195,738

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Solution

The third proportional to 138,214 and 195,738 is: 277,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,214 : 195,738 = 195,738 : x
  2. Step 2: Convert to fraction form
    138,214/195,738 = 195,738/x
  3. Step 3: Cross multiply
    138,214x = 195,738 × 195,738
  4. Step 4: Simplify right side
    138,214x = 38,313,364,644
  5. Step 5: Solve for x
    x = 38,313,364,644/138,214
  6. Step 6: Final answer
    x = 277,203.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.