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Finding the Third Proportional to 126,632 and 196,068

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Solution

The third proportional to 126,632 and 196,068 is: 303,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,632 : 196,068 = 196,068 : x
  2. Step 2: Convert to fraction form
    126,632/196,068 = 196,068/x
  3. Step 3: Cross multiply
    126,632x = 196,068 × 196,068
  4. Step 4: Simplify right side
    126,632x = 38,442,660,624
  5. Step 5: Solve for x
    x = 38,442,660,624/126,632
  6. Step 6: Final answer
    x = 303,577.77

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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.