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Finding the Third Proportional to 47,022 and 73,401

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Solution

The third proportional to 47,022 and 73,401 is: 114,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,022 : 73,401 = 73,401 : x
  2. Step 2: Convert to fraction form
    47,022/73,401 = 73,401/x
  3. Step 3: Cross multiply
    47,022x = 73,401 × 73,401
  4. Step 4: Simplify right side
    47,022x = 5,387,706,801
  5. Step 5: Solve for x
    x = 5,387,706,801/47,022
  6. Step 6: Final answer
    x = 114,578.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.