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Finding the Third Proportional to 36,578 and 85,469

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Solution

The third proportional to 36,578 and 85,469 is: 199,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578 : 85,469 = 85,469 : x
  2. Step 2: Convert to fraction form
    36,578/85,469 = 85,469/x
  3. Step 3: Cross multiply
    36,578x = 85,469 × 85,469
  4. Step 4: Simplify right side
    36,578x = 7,304,949,961
  5. Step 5: Solve for x
    x = 7,304,949,961/36,578
  6. Step 6: Final answer
    x = 199,708.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.