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Finding the Third Proportional to 126,729.75 and 196,161

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Solution

The third proportional to 126,729.75 and 196,161 is: 303,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,729.75 : 196,161 = 196,161 : x
  2. Step 2: Convert to fraction form
    126,729.75/196,161 = 196,161/x
  3. Step 3: Cross multiply
    126,729.75x = 196,161 × 196,161
  4. Step 4: Simplify right side
    126,729.75x = 38,479,137,921
  5. Step 5: Solve for x
    x = 38,479,137,921/126,729.75
  6. Step 6: Final answer
    x = 303,631.45

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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.