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Finding the Third Proportional to 126,197 and 195,372

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Solution

The third proportional to 126,197 and 195,372 is: 302,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,197 : 195,372 = 195,372 : x
  2. Step 2: Convert to fraction form
    126,197/195,372 = 195,372/x
  3. Step 3: Cross multiply
    126,197x = 195,372 × 195,372
  4. Step 4: Simplify right side
    126,197x = 38,170,218,384
  5. Step 5: Solve for x
    x = 38,170,218,384/126,197
  6. Step 6: Final answer
    x = 302,465.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.