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Finding the Third Proportional to 40,743 and 85,206

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Solution

The third proportional to 40,743 and 85,206 is: 178,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,743 : 85,206 = 85,206 : x
  2. Step 2: Convert to fraction form
    40,743/85,206 = 85,206/x
  3. Step 3: Cross multiply
    40,743x = 85,206 × 85,206
  4. Step 4: Simplify right side
    40,743x = 7,260,062,436
  5. Step 5: Solve for x
    x = 7,260,062,436/40,743
  6. Step 6: Final answer
    x = 178,191.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.