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Finding the Third Proportional to 110.74 and 134.68

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Solution

The third proportional to 110.74 and 134.68 is: 163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.74 : 134.68 = 134.68 : x
  2. Step 2: Convert to fraction form
    110.74/134.68 = 134.68/x
  3. Step 3: Cross multiply
    110.74x = 134.68 × 134.68
  4. Step 4: Simplify right side
    110.74x = 18,139.67
  5. Step 5: Solve for x
    x = 18,139.67/110.74
  6. Step 6: Final answer
    x = 163.80

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.