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Finding the Third Proportional to 101,406 and 226,104

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Solution

The third proportional to 101,406 and 226,104 is: 504,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,406 : 226,104 = 226,104 : x
  2. Step 2: Convert to fraction form
    101,406/226,104 = 226,104/x
  3. Step 3: Cross multiply
    101,406x = 226,104 × 226,104
  4. Step 4: Simplify right side
    101,406x = 51,123,018,816
  5. Step 5: Solve for x
    x = 51,123,018,816/101,406
  6. Step 6: Final answer
    x = 504,141.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.