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Finding the Third Proportional to 105.68 and 163.90

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Solution

The third proportional to 105.68 and 163.90 is: 254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.68 : 163.90 = 163.90 : x
  2. Step 2: Convert to fraction form
    105.68/163.90 = 163.90/x
  3. Step 3: Cross multiply
    105.68x = 163.90 × 163.90
  4. Step 4: Simplify right side
    105.68x = 26,862.70
  5. Step 5: Solve for x
    x = 26,862.70/105.68
  6. Step 6: Final answer
    x = 254.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.