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Finding the Third Proportional to 43,834 and 92,042

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Solution

The third proportional to 43,834 and 92,042 is: 193,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,834 : 92,042 = 92,042 : x
  2. Step 2: Convert to fraction form
    43,834/92,042 = 92,042/x
  3. Step 3: Cross multiply
    43,834x = 92,042 × 92,042
  4. Step 4: Simplify right side
    43,834x = 8,471,729,764
  5. Step 5: Solve for x
    x = 8,471,729,764/43,834
  6. Step 6: Final answer
    x = 193,268.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.