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Finding the Third Proportional to 106,756 and 166,182

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Solution

The third proportional to 106,756 and 166,182 is: 258,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,756 : 166,182 = 166,182 : x
  2. Step 2: Convert to fraction form
    106,756/166,182 = 166,182/x
  3. Step 3: Cross multiply
    106,756x = 166,182 × 166,182
  4. Step 4: Simplify right side
    106,756x = 27,616,457,124
  5. Step 5: Solve for x
    x = 27,616,457,124/106,756
  6. Step 6: Final answer
    x = 258,687.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.