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Finding the Third Proportional to 85,098 and 182,832

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Solution

The third proportional to 85,098 and 182,832 is: 392,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,098 : 182,832 = 182,832 : x
  2. Step 2: Convert to fraction form
    85,098/182,832 = 182,832/x
  3. Step 3: Cross multiply
    85,098x = 182,832 × 182,832
  4. Step 4: Simplify right side
    85,098x = 33,427,540,224
  5. Step 5: Solve for x
    x = 33,427,540,224/85,098
  6. Step 6: Final answer
    x = 392,812.29

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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.