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Finding the Third Proportional to 47,131 and 67,204

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Solution

The third proportional to 47,131 and 67,204 is: 95,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,131 : 67,204 = 67,204 : x
  2. Step 2: Convert to fraction form
    47,131/67,204 = 67,204/x
  3. Step 3: Cross multiply
    47,131x = 67,204 × 67,204
  4. Step 4: Simplify right side
    47,131x = 4,516,377,616
  5. Step 5: Solve for x
    x = 4,516,377,616/47,131
  6. Step 6: Final answer
    x = 95,826.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.