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Finding the Third Proportional to 45.25 and 95.81

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Solution

The third proportional to 45.25 and 95.81 is: 202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.25 : 95.81 = 95.81 : x
  2. Step 2: Convert to fraction form
    45.25/95.81 = 95.81/x
  3. Step 3: Cross multiply
    45.25x = 95.81 × 95.81
  4. Step 4: Simplify right side
    45.25x = 9,180.04
  5. Step 5: Solve for x
    x = 9,180.04/45.25
  6. Step 6: Final answer
    x = 202.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.