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Finding the Third Proportional to 126 and 191.25

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Solution

The third proportional to 126 and 191.25 is: 290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126 : 191.25 = 191.25 : x
  2. Step 2: Convert to fraction form
    126/191.25 = 191.25/x
  3. Step 3: Cross multiply
    126x = 191.25 × 191.25
  4. Step 4: Simplify right side
    126x = 36,576.56
  5. Step 5: Solve for x
    x = 36,576.56/126
  6. Step 6: Final answer
    x = 290.29

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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.