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Finding the Third Proportional to 90,194 and 140,204

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Solution

The third proportional to 90,194 and 140,204 is: 217,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,194 : 140,204 = 140,204 : x
  2. Step 2: Convert to fraction form
    90,194/140,204 = 140,204/x
  3. Step 3: Cross multiply
    90,194x = 140,204 × 140,204
  4. Step 4: Simplify right side
    90,194x = 19,657,161,616
  5. Step 5: Solve for x
    x = 19,657,161,616/90,194
  6. Step 6: Final answer
    x = 217,943.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.