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Finding the Third Proportional to 41,192 and 85,302

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Solution

The third proportional to 41,192 and 85,302 is: 176,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,192 : 85,302 = 85,302 : x
  2. Step 2: Convert to fraction form
    41,192/85,302 = 85,302/x
  3. Step 3: Cross multiply
    41,192x = 85,302 × 85,302
  4. Step 4: Simplify right side
    41,192x = 7,276,431,204
  5. Step 5: Solve for x
    x = 7,276,431,204/41,192
  6. Step 6: Final answer
    x = 176,646.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.