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Finding the Third Proportional to 51,595 and 104,845

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Solution

The third proportional to 51,595 and 104,845 is: 213,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,595 : 104,845 = 104,845 : x
  2. Step 2: Convert to fraction form
    51,595/104,845 = 104,845/x
  3. Step 3: Cross multiply
    51,595x = 104,845 × 104,845
  4. Step 4: Simplify right side
    51,595x = 10,992,474,025
  5. Step 5: Solve for x
    x = 10,992,474,025/51,595
  6. Step 6: Final answer
    x = 213,053.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.