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Finding the Third Proportional to 41,405 and 85,762

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Solution

The third proportional to 41,405 and 85,762 is: 177,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,405 : 85,762 = 85,762 : x
  2. Step 2: Convert to fraction form
    41,405/85,762 = 85,762/x
  3. Step 3: Cross multiply
    41,405x = 85,762 × 85,762
  4. Step 4: Simplify right side
    41,405x = 7,355,120,644
  5. Step 5: Solve for x
    x = 7,355,120,644/41,405
  6. Step 6: Final answer
    x = 177,638.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.