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Finding the Third Proportional to 96.03 and 141.91

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Solution

The third proportional to 96.03 and 141.91 is: 209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.03 : 141.91 = 141.91 : x
  2. Step 2: Convert to fraction form
    96.03/141.91 = 141.91/x
  3. Step 3: Cross multiply
    96.03x = 141.91 × 141.91
  4. Step 4: Simplify right side
    96.03x = 20,137.94
  5. Step 5: Solve for x
    x = 20,137.94/96.03
  6. Step 6: Final answer
    x = 209.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.