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Finding the Third Proportional to 83,538 and 180,926

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Solution

The third proportional to 83,538 and 180,926 is: 391,848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,538 : 180,926 = 180,926 : x
  2. Step 2: Convert to fraction form
    83,538/180,926 = 180,926/x
  3. Step 3: Cross multiply
    83,538x = 180,926 × 180,926
  4. Step 4: Simplify right side
    83,538x = 32,734,217,476
  5. Step 5: Solve for x
    x = 32,734,217,476/83,538
  6. Step 6: Final answer
    x = 391,848.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.