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Finding the Third Proportional to 117,860 and 188,150

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Solution

The third proportional to 117,860 and 188,150 is: 300,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,860 : 188,150 = 188,150 : x
  2. Step 2: Convert to fraction form
    117,860/188,150 = 188,150/x
  3. Step 3: Cross multiply
    117,860x = 188,150 × 188,150
  4. Step 4: Simplify right side
    117,860x = 35,400,422,500
  5. Step 5: Solve for x
    x = 35,400,422,500/117,860
  6. Step 6: Final answer
    x = 300,359.94

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.