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Finding the Third Proportional to 42,136 and 92,744

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Solution

The third proportional to 42,136 and 92,744 is: 204,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,136 : 92,744 = 92,744 : x
  2. Step 2: Convert to fraction form
    42,136/92,744 = 92,744/x
  3. Step 3: Cross multiply
    42,136x = 92,744 × 92,744
  4. Step 4: Simplify right side
    42,136x = 8,601,449,536
  5. Step 5: Solve for x
    x = 8,601,449,536/42,136
  6. Step 6: Final answer
    x = 204,135.41

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