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Finding the Third Proportional to 104,181 and 223,893

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Solution

The third proportional to 104,181 and 223,893 is: 481,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,181 : 223,893 = 223,893 : x
  2. Step 2: Convert to fraction form
    104,181/223,893 = 223,893/x
  3. Step 3: Cross multiply
    104,181x = 223,893 × 223,893
  4. Step 4: Simplify right side
    104,181x = 50,128,075,449
  5. Step 5: Solve for x
    x = 50,128,075,449/104,181
  6. Step 6: Final answer
    x = 481,163.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.