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Finding the Third Proportional to 67,832 and 141,856

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Solution

The third proportional to 67,832 and 141,856 is: 296,661.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,832 : 141,856 = 141,856 : x
  2. Step 2: Convert to fraction form
    67,832/141,856 = 141,856/x
  3. Step 3: Cross multiply
    67,832x = 141,856 × 141,856
  4. Step 4: Simplify right side
    67,832x = 20,123,124,736
  5. Step 5: Solve for x
    x = 20,123,124,736/67,832
  6. Step 6: Final answer
    x = 296,661.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.