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Finding the Third Proportional to 126,770.06 and 196,192.13

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Solution

The third proportional to 126,770.06 and 196,192.13 is: 303,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,770.06 : 196,192.13 = 196,192.13 : x
  2. Step 2: Convert to fraction form
    126,770.06/196,192.13 = 196,192.13/x
  3. Step 3: Cross multiply
    126,770.06x = 196,192.13 × 196,192.13
  4. Step 4: Simplify right side
    126,770.06x = 38,491,349,912.02
  5. Step 5: Solve for x
    x = 38,491,349,912.02/126,770.06
  6. Step 6: Final answer
    x = 303,631.23

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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.