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Finding the Third Proportional to 96.85 and 149.54

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Solution

The third proportional to 96.85 and 149.54 is: 230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.85 : 149.54 = 149.54 : x
  2. Step 2: Convert to fraction form
    96.85/149.54 = 149.54/x
  3. Step 3: Cross multiply
    96.85x = 149.54 × 149.54
  4. Step 4: Simplify right side
    96.85x = 22,362.66
  5. Step 5: Solve for x
    x = 22,362.66/96.85
  6. Step 6: Final answer
    x = 230.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.