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Finding the Third Proportional to 41,966 and 90,634

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Solution

The third proportional to 41,966 and 90,634 is: 195,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,966 : 90,634 = 90,634 : x
  2. Step 2: Convert to fraction form
    41,966/90,634 = 90,634/x
  3. Step 3: Cross multiply
    41,966x = 90,634 × 90,634
  4. Step 4: Simplify right side
    41,966x = 8,214,521,956
  5. Step 5: Solve for x
    x = 8,214,521,956/41,966
  6. Step 6: Final answer
    x = 195,742.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.