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Finding the Third Proportional to 67,487 and 161,183

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Solution

The third proportional to 67,487 and 161,183 is: 384,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,487 : 161,183 = 161,183 : x
  2. Step 2: Convert to fraction form
    67,487/161,183 = 161,183/x
  3. Step 3: Cross multiply
    67,487x = 161,183 × 161,183
  4. Step 4: Simplify right side
    67,487x = 25,979,959,489
  5. Step 5: Solve for x
    x = 25,979,959,489/67,487
  6. Step 6: Final answer
    x = 384,962.43

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.