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Finding the Third Proportional to 104,067 and 255,094

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Solution

The third proportional to 104,067 and 255,094 is: 625,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,067 : 255,094 = 255,094 : x
  2. Step 2: Convert to fraction form
    104,067/255,094 = 255,094/x
  3. Step 3: Cross multiply
    104,067x = 255,094 × 255,094
  4. Step 4: Simplify right side
    104,067x = 65,072,948,836
  5. Step 5: Solve for x
    x = 65,072,948,836/104,067
  6. Step 6: Final answer
    x = 625,298.59

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.