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Finding the Third Proportional to 117,006 and 188,427

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Solution

The third proportional to 117,006 and 188,427 is: 303,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,006 : 188,427 = 188,427 : x
  2. Step 2: Convert to fraction form
    117,006/188,427 = 188,427/x
  3. Step 3: Cross multiply
    117,006x = 188,427 × 188,427
  4. Step 4: Simplify right side
    117,006x = 35,504,734,329
  5. Step 5: Solve for x
    x = 35,504,734,329/117,006
  6. Step 6: Final answer
    x = 303,443.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.