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Finding the Third Proportional to 136,171.13 and 192,235.78

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Solution

The third proportional to 136,171.13 and 192,235.78 is: 271,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,171.13 : 192,235.78 = 192,235.78 : x
  2. Step 2: Convert to fraction form
    136,171.13/192,235.78 = 192,235.78/x
  3. Step 3: Cross multiply
    136,171.13x = 192,235.78 × 192,235.78
  4. Step 4: Simplify right side
    136,171.13x = 36,954,595,592.80
  5. Step 5: Solve for x
    x = 36,954,595,592.80/136,171.13
  6. Step 6: Final answer
    x = 271,383.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.