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Finding the Third Proportional to 40,204 and 61,242

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Solution

The third proportional to 40,204 and 61,242 is: 93,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,204 : 61,242 = 61,242 : x
  2. Step 2: Convert to fraction form
    40,204/61,242 = 61,242/x
  3. Step 3: Cross multiply
    40,204x = 61,242 × 61,242
  4. Step 4: Simplify right side
    40,204x = 3,750,582,564
  5. Step 5: Solve for x
    x = 3,750,582,564/40,204
  6. Step 6: Final answer
    x = 93,288.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.