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Finding the Third Proportional to 41,598 and 91,494

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Solution

The third proportional to 41,598 and 91,494 is: 201,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,598 : 91,494 = 91,494 : x
  2. Step 2: Convert to fraction form
    41,598/91,494 = 91,494/x
  3. Step 3: Cross multiply
    41,598x = 91,494 × 91,494
  4. Step 4: Simplify right side
    41,598x = 8,371,152,036
  5. Step 5: Solve for x
    x = 8,371,152,036/41,598
  6. Step 6: Final answer
    x = 201,239.29

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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.