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Finding the Third Proportional to 150.57 and 161.96

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Solution

The third proportional to 150.57 and 161.96 is: 174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.57 : 161.96 = 161.96 : x
  2. Step 2: Convert to fraction form
    150.57/161.96 = 161.96/x
  3. Step 3: Cross multiply
    150.57x = 161.96 × 161.96
  4. Step 4: Simplify right side
    150.57x = 26,231.19
  5. Step 5: Solve for x
    x = 26,231.19/150.57
  6. Step 6: Final answer
    x = 174.21

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.