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Finding the Third Proportional to 110.13 and 168.06

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Solution

The third proportional to 110.13 and 168.06 is: 256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.13 : 168.06 = 168.06 : x
  2. Step 2: Convert to fraction form
    110.13/168.06 = 168.06/x
  3. Step 3: Cross multiply
    110.13x = 168.06 × 168.06
  4. Step 4: Simplify right side
    110.13x = 28,245.00
  5. Step 5: Solve for x
    x = 28,245.00/110.13
  6. Step 6: Final answer
    x = 256.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.