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Finding the Third Proportional to 106,844 and 166,096

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Solution

The third proportional to 106,844 and 166,096 is: 258,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,844 : 166,096 = 166,096 : x
  2. Step 2: Convert to fraction form
    106,844/166,096 = 166,096/x
  3. Step 3: Cross multiply
    106,844x = 166,096 × 166,096
  4. Step 4: Simplify right side
    106,844x = 27,587,881,216
  5. Step 5: Solve for x
    x = 27,587,881,216/106,844
  6. Step 6: Final answer
    x = 258,207.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.