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Finding the Third Proportional to 42,519 and 92,694

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Solution

The third proportional to 42,519 and 92,694 is: 202,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,519 : 92,694 = 92,694 : x
  2. Step 2: Convert to fraction form
    42,519/92,694 = 92,694/x
  3. Step 3: Cross multiply
    42,519x = 92,694 × 92,694
  4. Step 4: Simplify right side
    42,519x = 8,592,177,636
  5. Step 5: Solve for x
    x = 8,592,177,636/42,519
  6. Step 6: Final answer
    x = 202,078.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.