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Finding the Third Proportional to 137,277 and 204,711

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Solution

The third proportional to 137,277 and 204,711 is: 305,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,277 : 204,711 = 204,711 : x
  2. Step 2: Convert to fraction form
    137,277/204,711 = 204,711/x
  3. Step 3: Cross multiply
    137,277x = 204,711 × 204,711
  4. Step 4: Simplify right side
    137,277x = 41,906,593,521
  5. Step 5: Solve for x
    x = 41,906,593,521/137,277
  6. Step 6: Final answer
    x = 305,270.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.