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Finding the Third Proportional to 82 and 122

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Solution

The third proportional to 82 and 122 is: 181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 122 = 122 : x
  2. Step 2: Convert to fraction form
    82/122 = 122/x
  3. Step 3: Cross multiply
    82x = 122 × 122
  4. Step 4: Simplify right side
    82x = 14,884
  5. Step 5: Solve for x
    x = 14,884/82
  6. Step 6: Final answer
    x = 181.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.