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Finding the Third Proportional to 85,032 and 179,283

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Solution

The third proportional to 85,032 and 179,283 is: 378,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,032 : 179,283 = 179,283 : x
  2. Step 2: Convert to fraction form
    85,032/179,283 = 179,283/x
  3. Step 3: Cross multiply
    85,032x = 179,283 × 179,283
  4. Step 4: Simplify right side
    85,032x = 32,142,394,089
  5. Step 5: Solve for x
    x = 32,142,394,089/85,032
  6. Step 6: Final answer
    x = 378,003.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.