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Finding the Third Proportional to 126,079 and 195,213

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Solution

The third proportional to 126,079 and 195,213 is: 302,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,079 : 195,213 = 195,213 : x
  2. Step 2: Convert to fraction form
    126,079/195,213 = 195,213/x
  3. Step 3: Cross multiply
    126,079x = 195,213 × 195,213
  4. Step 4: Simplify right side
    126,079x = 38,108,115,369
  5. Step 5: Solve for x
    x = 38,108,115,369/126,079
  6. Step 6: Final answer
    x = 302,255.85

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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.