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Finding the Third Proportional to 106 and 110

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Solution

The third proportional to 106 and 110 is: 114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 110 = 110 : x
  2. Step 2: Convert to fraction form
    106/110 = 110/x
  3. Step 3: Cross multiply
    106x = 110 × 110
  4. Step 4: Simplify right side
    106x = 12,100
  5. Step 5: Solve for x
    x = 12,100/106
  6. Step 6: Final answer
    x = 114.15

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.