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Finding the Third Proportional to 104,094 and 223,975

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Solution

The third proportional to 104,094 and 223,975 is: 481,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,094 : 223,975 = 223,975 : x
  2. Step 2: Convert to fraction form
    104,094/223,975 = 223,975/x
  3. Step 3: Cross multiply
    104,094x = 223,975 × 223,975
  4. Step 4: Simplify right side
    104,094x = 50,164,800,625
  5. Step 5: Solve for x
    x = 50,164,800,625/104,094
  6. Step 6: Final answer
    x = 481,918.27

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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.