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Finding the Third Proportional to 126.14 and 191.11

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Solution

The third proportional to 126.14 and 191.11 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.14 : 191.11 = 191.11 : x
  2. Step 2: Convert to fraction form
    126.14/191.11 = 191.11/x
  3. Step 3: Cross multiply
    126.14x = 191.11 × 191.11
  4. Step 4: Simplify right side
    126.14x = 36,522.79
  5. Step 5: Solve for x
    x = 36,522.79/126.14
  6. Step 6: Final answer
    x = 289.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.