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Finding the Third Proportional to 102 and 182

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Solution

The third proportional to 102 and 182 is: 324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 182 = 182 : x
  2. Step 2: Convert to fraction form
    102/182 = 182/x
  3. Step 3: Cross multiply
    102x = 182 × 182
  4. Step 4: Simplify right side
    102x = 33,124
  5. Step 5: Solve for x
    x = 33,124/102
  6. Step 6: Final answer
    x = 324.75

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.