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Finding the Third Proportional to 95.94 and 135.97

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Solution

The third proportional to 95.94 and 135.97 is: 192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.94 : 135.97 = 135.97 : x
  2. Step 2: Convert to fraction form
    95.94/135.97 = 135.97/x
  3. Step 3: Cross multiply
    95.94x = 135.97 × 135.97
  4. Step 4: Simplify right side
    95.94x = 18,487.50
  5. Step 5: Solve for x
    x = 18,487.50/95.94
  6. Step 6: Final answer
    x = 192.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.