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Finding the Third Proportional to 95.50 and 149.94

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Solution

The third proportional to 95.50 and 149.94 is: 235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.50 : 149.94 = 149.94 : x
  2. Step 2: Convert to fraction form
    95.50/149.94 = 149.94/x
  3. Step 3: Cross multiply
    95.50x = 149.94 × 149.94
  4. Step 4: Simplify right side
    95.50x = 22,481.25
  5. Step 5: Solve for x
    x = 22,481.25/95.50
  6. Step 6: Final answer
    x = 235.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.