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Finding the Third Proportional to 106,838 and 166,086

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Solution

The third proportional to 106,838 and 166,086 is: 258,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,838 : 166,086 = 166,086 : x
  2. Step 2: Convert to fraction form
    106,838/166,086 = 166,086/x
  3. Step 3: Cross multiply
    106,838x = 166,086 × 166,086
  4. Step 4: Simplify right side
    106,838x = 27,584,559,396
  5. Step 5: Solve for x
    x = 27,584,559,396/106,838
  6. Step 6: Final answer
    x = 258,190.53

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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.