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Finding the Third Proportional to 51.05 and 110.11

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Solution

The third proportional to 51.05 and 110.11 is: 237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.05 : 110.11 = 110.11 : x
  2. Step 2: Convert to fraction form
    51.05/110.11 = 110.11/x
  3. Step 3: Cross multiply
    51.05x = 110.11 × 110.11
  4. Step 4: Simplify right side
    51.05x = 12,124.07
  5. Step 5: Solve for x
    x = 12,124.07/51.05
  6. Step 6: Final answer
    x = 237.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.