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Finding the Third Proportional to 52,379 and 113,869

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Solution

The third proportional to 52,379 and 113,869 is: 247,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,379 : 113,869 = 113,869 : x
  2. Step 2: Convert to fraction form
    52,379/113,869 = 113,869/x
  3. Step 3: Cross multiply
    52,379x = 113,869 × 113,869
  4. Step 4: Simplify right side
    52,379x = 12,966,149,161
  5. Step 5: Solve for x
    x = 12,966,149,161/52,379
  6. Step 6: Final answer
    x = 247,544.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.