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Finding the Third Proportional to 104,012 and 220,420

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Solution

The third proportional to 104,012 and 220,420 is: 467,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,012 : 220,420 = 220,420 : x
  2. Step 2: Convert to fraction form
    104,012/220,420 = 220,420/x
  3. Step 3: Cross multiply
    104,012x = 220,420 × 220,420
  4. Step 4: Simplify right side
    104,012x = 48,584,976,400
  5. Step 5: Solve for x
    x = 48,584,976,400/104,012
  6. Step 6: Final answer
    x = 467,109.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.