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Finding the Third Proportional to 110.25 and 168.13

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Solution

The third proportional to 110.25 and 168.13 is: 256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 168.13 = 168.13 : x
  2. Step 2: Convert to fraction form
    110.25/168.13 = 168.13/x
  3. Step 3: Cross multiply
    110.25x = 168.13 × 168.13
  4. Step 4: Simplify right side
    110.25x = 28,266.02
  5. Step 5: Solve for x
    x = 28,266.02/110.25
  6. Step 6: Final answer
    x = 256.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.