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Finding the Third Proportional to 106,842 and 166,092

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Solution

The third proportional to 106,842 and 166,092 is: 258,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,842 : 166,092 = 166,092 : x
  2. Step 2: Convert to fraction form
    106,842/166,092 = 166,092/x
  3. Step 3: Cross multiply
    106,842x = 166,092 × 166,092
  4. Step 4: Simplify right side
    106,842x = 27,586,552,464
  5. Step 5: Solve for x
    x = 27,586,552,464/106,842
  6. Step 6: Final answer
    x = 258,199.51

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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.