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Finding the Third Proportional to 136.05 and 191.43

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Solution

The third proportional to 136.05 and 191.43 is: 269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.05 : 191.43 = 191.43 : x
  2. Step 2: Convert to fraction form
    136.05/191.43 = 191.43/x
  3. Step 3: Cross multiply
    136.05x = 191.43 × 191.43
  4. Step 4: Simplify right side
    136.05x = 36,643.83
  5. Step 5: Solve for x
    x = 36,643.83/136.05
  6. Step 6: Final answer
    x = 269.33

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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.