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Finding the Third Proportional to 64,067.50 and 140,204

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Solution

The third proportional to 64,067.50 and 140,204 is: 306,819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,067.50 : 140,204 = 140,204 : x
  2. Step 2: Convert to fraction form
    64,067.50/140,204 = 140,204/x
  3. Step 3: Cross multiply
    64,067.50x = 140,204 × 140,204
  4. Step 4: Simplify right side
    64,067.50x = 19,657,161,616
  5. Step 5: Solve for x
    x = 19,657,161,616/64,067.50
  6. Step 6: Final answer
    x = 306,819.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.