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Finding the Third Proportional to 104,069 and 223,920

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Solution

The third proportional to 104,069 and 223,920 is: 481,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,069 : 223,920 = 223,920 : x
  2. Step 2: Convert to fraction form
    104,069/223,920 = 223,920/x
  3. Step 3: Cross multiply
    104,069x = 223,920 × 223,920
  4. Step 4: Simplify right side
    104,069x = 50,140,166,400
  5. Step 5: Solve for x
    x = 50,140,166,400/104,069
  6. Step 6: Final answer
    x = 481,797.33

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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.