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Finding the Third Proportional to 41,405 and 90,057

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Solution

The third proportional to 41,405 and 90,057 is: 195,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,405 : 90,057 = 90,057 : x
  2. Step 2: Convert to fraction form
    41,405/90,057 = 90,057/x
  3. Step 3: Cross multiply
    41,405x = 90,057 × 90,057
  4. Step 4: Simplify right side
    41,405x = 8,110,263,249
  5. Step 5: Solve for x
    x = 8,110,263,249/41,405
  6. Step 6: Final answer
    x = 195,876.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.