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Finding the Third Proportional to 106,300 and 166,767

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Solution

The third proportional to 106,300 and 166,767 is: 261,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,300 : 166,767 = 166,767 : x
  2. Step 2: Convert to fraction form
    106,300/166,767 = 166,767/x
  3. Step 3: Cross multiply
    106,300x = 166,767 × 166,767
  4. Step 4: Simplify right side
    106,300x = 27,811,232,289
  5. Step 5: Solve for x
    x = 27,811,232,289/106,300
  6. Step 6: Final answer
    x = 261,629.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.