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Finding the Third Proportional to 105.44 and 154.53

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Solution

The third proportional to 105.44 and 154.53 is: 226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.44 : 154.53 = 154.53 : x
  2. Step 2: Convert to fraction form
    105.44/154.53 = 154.53/x
  3. Step 3: Cross multiply
    105.44x = 154.53 × 154.53
  4. Step 4: Simplify right side
    105.44x = 23,879.91
  5. Step 5: Solve for x
    x = 23,879.91/105.44
  6. Step 6: Final answer
    x = 226.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.