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Finding the Third Proportional to 96.05 and 147.73

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Solution

The third proportional to 96.05 and 147.73 is: 227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.05 : 147.73 = 147.73 : x
  2. Step 2: Convert to fraction form
    96.05/147.73 = 147.73/x
  3. Step 3: Cross multiply
    96.05x = 147.73 × 147.73
  4. Step 4: Simplify right side
    96.05x = 21,823.14
  5. Step 5: Solve for x
    x = 21,823.14/96.05
  6. Step 6: Final answer
    x = 227.21

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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.