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Finding the Third Proportional to 126,120 and 195,282

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Solution

The third proportional to 126,120 and 195,282 is: 302,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,120 : 195,282 = 195,282 : x
  2. Step 2: Convert to fraction form
    126,120/195,282 = 195,282/x
  3. Step 3: Cross multiply
    126,120x = 195,282 × 195,282
  4. Step 4: Simplify right side
    126,120x = 38,135,059,524
  5. Step 5: Solve for x
    x = 38,135,059,524/126,120
  6. Step 6: Final answer
    x = 302,371.23

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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.