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Finding the Third Proportional to 40,452 and 85,926

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Solution

The third proportional to 40,452 and 85,926 is: 182,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,452 : 85,926 = 85,926 : x
  2. Step 2: Convert to fraction form
    40,452/85,926 = 85,926/x
  3. Step 3: Cross multiply
    40,452x = 85,926 × 85,926
  4. Step 4: Simplify right side
    40,452x = 7,383,277,476
  5. Step 5: Solve for x
    x = 7,383,277,476/40,452
  6. Step 6: Final answer
    x = 182,519.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.