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Finding the Third Proportional to 129,838 and 196,162

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Solution

The third proportional to 129,838 and 196,162 is: 296,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,838 : 196,162 = 196,162 : x
  2. Step 2: Convert to fraction form
    129,838/196,162 = 196,162/x
  3. Step 3: Cross multiply
    129,838x = 196,162 × 196,162
  4. Step 4: Simplify right side
    129,838x = 38,479,530,244
  5. Step 5: Solve for x
    x = 38,479,530,244/129,838
  6. Step 6: Final answer
    x = 296,365.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.