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Finding the Third Proportional to 51.02 and 110.15

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Solution

The third proportional to 51.02 and 110.15 is: 237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.02 : 110.15 = 110.15 : x
  2. Step 2: Convert to fraction form
    51.02/110.15 = 110.15/x
  3. Step 3: Cross multiply
    51.02x = 110.15 × 110.15
  4. Step 4: Simplify right side
    51.02x = 12,132.85
  5. Step 5: Solve for x
    x = 12,132.85/51.02
  6. Step 6: Final answer
    x = 237.81

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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.