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Finding the Third Proportional to 57,766 and 119,916

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Solution

The third proportional to 57,766 and 119,916 is: 248,932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,766 : 119,916 = 119,916 : x
  2. Step 2: Convert to fraction form
    57,766/119,916 = 119,916/x
  3. Step 3: Cross multiply
    57,766x = 119,916 × 119,916
  4. Step 4: Simplify right side
    57,766x = 14,379,847,056
  5. Step 5: Solve for x
    x = 14,379,847,056/57,766
  6. Step 6: Final answer
    x = 248,932.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.