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Finding the Third Proportional to 76.06 and 166.10

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Solution

The third proportional to 76.06 and 166.10 is: 362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.06 : 166.10 = 166.10 : x
  2. Step 2: Convert to fraction form
    76.06/166.10 = 166.10/x
  3. Step 3: Cross multiply
    76.06x = 166.10 × 166.10
  4. Step 4: Simplify right side
    76.06x = 27,587.78
  5. Step 5: Solve for x
    x = 27,587.78/76.06
  6. Step 6: Final answer
    x = 362.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.