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Finding the Third Proportional to 41,692 and 84,926

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Solution

The third proportional to 41,692 and 84,926 is: 172,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,692 : 84,926 = 84,926 : x
  2. Step 2: Convert to fraction form
    41,692/84,926 = 84,926/x
  3. Step 3: Cross multiply
    41,692x = 84,926 × 84,926
  4. Step 4: Simplify right side
    41,692x = 7,212,425,476
  5. Step 5: Solve for x
    x = 7,212,425,476/41,692
  6. Step 6: Final answer
    x = 172,993.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.