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Finding the Third Proportional to 51,770.72 and 113,234.44

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Solution

The third proportional to 51,770.72 and 113,234.44 is: 247,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,770.72 : 113,234.44 = 113,234.44 : x
  2. Step 2: Convert to fraction form
    51,770.72/113,234.44 = 113,234.44/x
  3. Step 3: Cross multiply
    51,770.72x = 113,234.44 × 113,234.44
  4. Step 4: Simplify right side
    51,770.72x = 12,822,037,835.94
  5. Step 5: Solve for x
    x = 12,822,037,835.94/51,770.72
  6. Step 6: Final answer
    x = 247,669.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.