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Finding the Third Proportional to 95.25 and 149.56

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Solution

The third proportional to 95.25 and 149.56 is: 234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.25 : 149.56 = 149.56 : x
  2. Step 2: Convert to fraction form
    95.25/149.56 = 149.56/x
  3. Step 3: Cross multiply
    95.25x = 149.56 × 149.56
  4. Step 4: Simplify right side
    95.25x = 22,368.94
  5. Step 5: Solve for x
    x = 22,368.94/95.25
  6. Step 6: Final answer
    x = 234.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.