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Finding the Third Proportional to 122 and 159

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Solution

The third proportional to 122 and 159 is: 207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122 : 159 = 159 : x
  2. Step 2: Convert to fraction form
    122/159 = 159/x
  3. Step 3: Cross multiply
    122x = 159 × 159
  4. Step 4: Simplify right side
    122x = 25,281
  5. Step 5: Solve for x
    x = 25,281/122
  6. Step 6: Final answer
    x = 207.22

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.