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Finding the Third Proportional to 47,019 and 97,926

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Solution

The third proportional to 47,019 and 97,926 is: 203,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,019 : 97,926 = 97,926 : x
  2. Step 2: Convert to fraction form
    47,019/97,926 = 97,926/x
  3. Step 3: Cross multiply
    47,019x = 97,926 × 97,926
  4. Step 4: Simplify right side
    47,019x = 9,589,501,476
  5. Step 5: Solve for x
    x = 9,589,501,476/47,019
  6. Step 6: Final answer
    x = 203,949.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.