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Finding the Third Proportional to 126,837 and 196,668

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Solution

The third proportional to 126,837 and 196,668 is: 304,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,837 : 196,668 = 196,668 : x
  2. Step 2: Convert to fraction form
    126,837/196,668 = 196,668/x
  3. Step 3: Cross multiply
    126,837x = 196,668 × 196,668
  4. Step 4: Simplify right side
    126,837x = 38,678,302,224
  5. Step 5: Solve for x
    x = 38,678,302,224/126,837
  6. Step 6: Final answer
    x = 304,944.95

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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.