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Finding the Third Proportional to 51,856 and 107,400

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Solution

The third proportional to 51,856 and 107,400 is: 222,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856 : 107,400 = 107,400 : x
  2. Step 2: Convert to fraction form
    51,856/107,400 = 107,400/x
  3. Step 3: Cross multiply
    51,856x = 107,400 × 107,400
  4. Step 4: Simplify right side
    51,856x = 11,534,760,000
  5. Step 5: Solve for x
    x = 11,534,760,000/51,856
  6. Step 6: Final answer
    x = 222,438.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.