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Finding the Third Proportional to 51,207.38 and 104,874.56

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Solution

The third proportional to 51,207.38 and 104,874.56 is: 214,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207.38 : 104,874.56 = 104,874.56 : x
  2. Step 2: Convert to fraction form
    51,207.38/104,874.56 = 104,874.56/x
  3. Step 3: Cross multiply
    51,207.38x = 104,874.56 × 104,874.56
  4. Step 4: Simplify right side
    51,207.38x = 10,998,673,859.57
  5. Step 5: Solve for x
    x = 10,998,673,859.57/51,207.38
  6. Step 6: Final answer
    x = 214,786.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.