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Finding the Third Proportional to 117,900 and 166,667

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Solution

The third proportional to 117,900 and 166,667 is: 235,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,900 : 166,667 = 166,667 : x
  2. Step 2: Convert to fraction form
    117,900/166,667 = 166,667/x
  3. Step 3: Cross multiply
    117,900x = 166,667 × 166,667
  4. Step 4: Simplify right side
    117,900x = 27,777,888,889
  5. Step 5: Solve for x
    x = 27,777,888,889/117,900
  6. Step 6: Final answer
    x = 235,605.50

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.