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Finding the Third Proportional to 85,108 and 182,850

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Solution

The third proportional to 85,108 and 182,850 is: 392,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,108 : 182,850 = 182,850 : x
  2. Step 2: Convert to fraction form
    85,108/182,850 = 182,850/x
  3. Step 3: Cross multiply
    85,108x = 182,850 × 182,850
  4. Step 4: Simplify right side
    85,108x = 33,434,122,500
  5. Step 5: Solve for x
    x = 33,434,122,500/85,108
  6. Step 6: Final answer
    x = 392,843.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.