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Finding the Third Proportional to 31,222 and 73,701

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Solution

The third proportional to 31,222 and 73,701 is: 173,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,222 : 73,701 = 73,701 : x
  2. Step 2: Convert to fraction form
    31,222/73,701 = 73,701/x
  3. Step 3: Cross multiply
    31,222x = 73,701 × 73,701
  4. Step 4: Simplify right side
    31,222x = 5,431,837,401
  5. Step 5: Solve for x
    x = 5,431,837,401/31,222
  6. Step 6: Final answer
    x = 173,974.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.