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Finding the Third Proportional to 51,879 and 110,670

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Solution

The third proportional to 51,879 and 110,670 is: 236,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,879 : 110,670 = 110,670 : x
  2. Step 2: Convert to fraction form
    51,879/110,670 = 110,670/x
  3. Step 3: Cross multiply
    51,879x = 110,670 × 110,670
  4. Step 4: Simplify right side
    51,879x = 12,247,848,900
  5. Step 5: Solve for x
    x = 12,247,848,900/51,879
  6. Step 6: Final answer
    x = 236,084.91

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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.