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Finding the Third Proportional to 51,777 and 110,115

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Solution

The third proportional to 51,777 and 110,115 is: 234,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,777 : 110,115 = 110,115 : x
  2. Step 2: Convert to fraction form
    51,777/110,115 = 110,115/x
  3. Step 3: Cross multiply
    51,777x = 110,115 × 110,115
  4. Step 4: Simplify right side
    51,777x = 12,125,313,225
  5. Step 5: Solve for x
    x = 12,125,313,225/51,777
  6. Step 6: Final answer
    x = 234,183.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.