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Finding the Third Proportional to 27,097 and 67,073

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Solution

The third proportional to 27,097 and 67,073 is: 166,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097 : 67,073 = 67,073 : x
  2. Step 2: Convert to fraction form
    27,097/67,073 = 67,073/x
  3. Step 3: Cross multiply
    27,097x = 67,073 × 67,073
  4. Step 4: Simplify right side
    27,097x = 4,498,787,329
  5. Step 5: Solve for x
    x = 4,498,787,329/27,097
  6. Step 6: Final answer
    x = 166,025.29

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.