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Finding the Third Proportional to 104,093 and 223,973

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Solution

The third proportional to 104,093 and 223,973 is: 481,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,093 : 223,973 = 223,973 : x
  2. Step 2: Convert to fraction form
    104,093/223,973 = 223,973/x
  3. Step 3: Cross multiply
    104,093x = 223,973 × 223,973
  4. Step 4: Simplify right side
    104,093x = 50,163,904,729
  5. Step 5: Solve for x
    x = 50,163,904,729/104,093
  6. Step 6: Final answer
    x = 481,914.30

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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.