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Finding the Third Proportional to 51.06 and 108.41

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Solution

The third proportional to 51.06 and 108.41 is: 230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.06 : 108.41 = 108.41 : x
  2. Step 2: Convert to fraction form
    51.06/108.41 = 108.41/x
  3. Step 3: Cross multiply
    51.06x = 108.41 × 108.41
  4. Step 4: Simplify right side
    51.06x = 11,751.92
  5. Step 5: Solve for x
    x = 11,751.92/51.06
  6. Step 6: Final answer
    x = 230.15

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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.