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Finding the Third Proportional to 40,622 and 89,092

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Solution

The third proportional to 40,622 and 89,092 is: 195,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,622 : 89,092 = 89,092 : x
  2. Step 2: Convert to fraction form
    40,622/89,092 = 89,092/x
  3. Step 3: Cross multiply
    40,622x = 89,092 × 89,092
  4. Step 4: Simplify right side
    40,622x = 7,937,384,464
  5. Step 5: Solve for x
    x = 7,937,384,464/40,622
  6. Step 6: Final answer
    x = 195,396.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.