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Finding the Third Proportional to 85,192 and 132,042

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Solution

The third proportional to 85,192 and 132,042 is: 204,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,192 : 132,042 = 132,042 : x
  2. Step 2: Convert to fraction form
    85,192/132,042 = 132,042/x
  3. Step 3: Cross multiply
    85,192x = 132,042 × 132,042
  4. Step 4: Simplify right side
    85,192x = 17,435,089,764
  5. Step 5: Solve for x
    x = 17,435,089,764/85,192
  6. Step 6: Final answer
    x = 204,656.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.