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Finding the Third Proportional to 41,522 and 90,092

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Solution

The third proportional to 41,522 and 90,092 is: 195,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,522 : 90,092 = 90,092 : x
  2. Step 2: Convert to fraction form
    41,522/90,092 = 90,092/x
  3. Step 3: Cross multiply
    41,522x = 90,092 × 90,092
  4. Step 4: Simplify right side
    41,522x = 8,116,568,464
  5. Step 5: Solve for x
    x = 8,116,568,464/41,522
  6. Step 6: Final answer
    x = 195,476.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.