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Finding the Third Proportional to 126,596 and 196,806

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Solution

The third proportional to 126,596 and 196,806 is: 305,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,596 : 196,806 = 196,806 : x
  2. Step 2: Convert to fraction form
    126,596/196,806 = 196,806/x
  3. Step 3: Cross multiply
    126,596x = 196,806 × 196,806
  4. Step 4: Simplify right side
    126,596x = 38,732,601,636
  5. Step 5: Solve for x
    x = 38,732,601,636/126,596
  6. Step 6: Final answer
    x = 305,954.39

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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.