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Finding the Third Proportional to 95.34 and 140.91

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Solution

The third proportional to 95.34 and 140.91 is: 208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.34 : 140.91 = 140.91 : x
  2. Step 2: Convert to fraction form
    95.34/140.91 = 140.91/x
  3. Step 3: Cross multiply
    95.34x = 140.91 × 140.91
  4. Step 4: Simplify right side
    95.34x = 19,854.57
  5. Step 5: Solve for x
    x = 19,854.57/95.34
  6. Step 6: Final answer
    x = 208.24

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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.