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Finding the Third Proportional to 101,892 and 223,954

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Solution

The third proportional to 101,892 and 223,954 is: 492,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,892 : 223,954 = 223,954 : x
  2. Step 2: Convert to fraction form
    101,892/223,954 = 223,954/x
  3. Step 3: Cross multiply
    101,892x = 223,954 × 223,954
  4. Step 4: Simplify right side
    101,892x = 50,155,394,116
  5. Step 5: Solve for x
    x = 50,155,394,116/101,892
  6. Step 6: Final answer
    x = 492,240.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.