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Finding the Third Proportional to 75.75 and 166.69

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Solution

The third proportional to 75.75 and 166.69 is: 366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.75 : 166.69 = 166.69 : x
  2. Step 2: Convert to fraction form
    75.75/166.69 = 166.69/x
  3. Step 3: Cross multiply
    75.75x = 166.69 × 166.69
  4. Step 4: Simplify right side
    75.75x = 27,784.72
  5. Step 5: Solve for x
    x = 27,784.72/75.75
  6. Step 6: Final answer
    x = 366.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.