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Finding the Third Proportional to 82,996 and 182,192

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Solution

The third proportional to 82,996 and 182,192 is: 399,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,996 : 182,192 = 182,192 : x
  2. Step 2: Convert to fraction form
    82,996/182,192 = 182,192/x
  3. Step 3: Cross multiply
    82,996x = 182,192 × 182,192
  4. Step 4: Simplify right side
    82,996x = 33,193,924,864
  5. Step 5: Solve for x
    x = 33,193,924,864/82,996
  6. Step 6: Final answer
    x = 399,946.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.