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Finding the Third Proportional to 96.75 and 148.69

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Solution

The third proportional to 96.75 and 148.69 is: 228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 148.69 = 148.69 : x
  2. Step 2: Convert to fraction form
    96.75/148.69 = 148.69/x
  3. Step 3: Cross multiply
    96.75x = 148.69 × 148.69
  4. Step 4: Simplify right side
    96.75x = 22,107.97
  5. Step 5: Solve for x
    x = 22,107.97/96.75
  6. Step 6: Final answer
    x = 228.51

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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.