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Finding the Third Proportional to 109.88 and 165.66

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Solution

The third proportional to 109.88 and 165.66 is: 249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.88 : 165.66 = 165.66 : x
  2. Step 2: Convert to fraction form
    109.88/165.66 = 165.66/x
  3. Step 3: Cross multiply
    109.88x = 165.66 × 165.66
  4. Step 4: Simplify right side
    109.88x = 27,441.99
  5. Step 5: Solve for x
    x = 27,441.99/109.88
  6. Step 6: Final answer
    x = 249.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.