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Finding the Third Proportional to 70,135 and 106,667

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Solution

The third proportional to 70,135 and 106,667 is: 162,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,135 : 106,667 = 106,667 : x
  2. Step 2: Convert to fraction form
    70,135/106,667 = 106,667/x
  3. Step 3: Cross multiply
    70,135x = 106,667 × 106,667
  4. Step 4: Simplify right side
    70,135x = 11,377,848,889
  5. Step 5: Solve for x
    x = 11,377,848,889/70,135
  6. Step 6: Final answer
    x = 162,227.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.