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Finding the Third Proportional to 66 and 166

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Solution

The third proportional to 66 and 166 is: 417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66 : 166 = 166 : x
  2. Step 2: Convert to fraction form
    66/166 = 166/x
  3. Step 3: Cross multiply
    66x = 166 × 166
  4. Step 4: Simplify right side
    66x = 27,556
  5. Step 5: Solve for x
    x = 27,556/66
  6. Step 6: Final answer
    x = 417.52

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.