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Finding the Third Proportional to 42,252 and 92,874

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Solution

The third proportional to 42,252 and 92,874 is: 204,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,252 : 92,874 = 92,874 : x
  2. Step 2: Convert to fraction form
    42,252/92,874 = 92,874/x
  3. Step 3: Cross multiply
    42,252x = 92,874 × 92,874
  4. Step 4: Simplify right side
    42,252x = 8,625,579,876
  5. Step 5: Solve for x
    x = 8,625,579,876/42,252
  6. Step 6: Final answer
    x = 204,146.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.