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Finding the Third Proportional to 122 and 134.75

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Solution

The third proportional to 122 and 134.75 is: 148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122 : 134.75 = 134.75 : x
  2. Step 2: Convert to fraction form
    122/134.75 = 134.75/x
  3. Step 3: Cross multiply
    122x = 134.75 × 134.75
  4. Step 4: Simplify right side
    122x = 18,157.56
  5. Step 5: Solve for x
    x = 18,157.56/122
  6. Step 6: Final answer
    x = 148.83

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.