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Finding the Third Proportional to 41,772 and 91,852

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Solution

The third proportional to 41,772 and 91,852 is: 201,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,772 : 91,852 = 91,852 : x
  2. Step 2: Convert to fraction form
    41,772/91,852 = 91,852/x
  3. Step 3: Cross multiply
    41,772x = 91,852 × 91,852
  4. Step 4: Simplify right side
    41,772x = 8,436,789,904
  5. Step 5: Solve for x
    x = 8,436,789,904/41,772
  6. Step 6: Final answer
    x = 201,972.37

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Why These Related Problems?

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