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Finding the Third Proportional to 104.89 and 163.27

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Solution

The third proportional to 104.89 and 163.27 is: 254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.89 : 163.27 = 163.27 : x
  2. Step 2: Convert to fraction form
    104.89/163.27 = 163.27/x
  3. Step 3: Cross multiply
    104.89x = 163.27 × 163.27
  4. Step 4: Simplify right side
    104.89x = 26,655.66
  5. Step 5: Solve for x
    x = 26,655.66/104.89
  6. Step 6: Final answer
    x = 254.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.