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Finding the Third Proportional to 67,793 and 140,302

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Solution

The third proportional to 67,793 and 140,302 is: 290,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,793 : 140,302 = 140,302 : x
  2. Step 2: Convert to fraction form
    67,793/140,302 = 140,302/x
  3. Step 3: Cross multiply
    67,793x = 140,302 × 140,302
  4. Step 4: Simplify right side
    67,793x = 19,684,651,204
  5. Step 5: Solve for x
    x = 19,684,651,204/67,793
  6. Step 6: Final answer
    x = 290,364.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.