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Finding the Third Proportional to 51,108.75 and 119,379.38

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Solution

The third proportional to 51,108.75 and 119,379.38 is: 278,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,108.75 : 119,379.38 = 119,379.38 : x
  2. Step 2: Convert to fraction form
    51,108.75/119,379.38 = 119,379.38/x
  3. Step 3: Cross multiply
    51,108.75x = 119,379.38 × 119,379.38
  4. Step 4: Simplify right side
    51,108.75x = 14,251,435,175.39
  5. Step 5: Solve for x
    x = 14,251,435,175.39/51,108.75
  6. Step 6: Final answer
    x = 278,845.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.