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Finding the Third Proportional to 42,694 and 92,771

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Solution

The third proportional to 42,694 and 92,771 is: 201,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,694 : 92,771 = 92,771 : x
  2. Step 2: Convert to fraction form
    42,694/92,771 = 92,771/x
  3. Step 3: Cross multiply
    42,694x = 92,771 × 92,771
  4. Step 4: Simplify right side
    42,694x = 8,606,458,441
  5. Step 5: Solve for x
    x = 8,606,458,441/42,694
  6. Step 6: Final answer
    x = 201,584.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.