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Finding the Third Proportional to 106,703 and 155,667

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Solution

The third proportional to 106,703 and 155,667 is: 227,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,703 : 155,667 = 155,667 : x
  2. Step 2: Convert to fraction form
    106,703/155,667 = 155,667/x
  3. Step 3: Cross multiply
    106,703x = 155,667 × 155,667
  4. Step 4: Simplify right side
    106,703x = 24,232,214,889
  5. Step 5: Solve for x
    x = 24,232,214,889/106,703
  6. Step 6: Final answer
    x = 227,099.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.