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Finding the Third Proportional to 121,086.38 and 166,219.13

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Solution

The third proportional to 121,086.38 and 166,219.13 is: 228,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,086.38 : 166,219.13 = 166,219.13 : x
  2. Step 2: Convert to fraction form
    121,086.38/166,219.13 = 166,219.13/x
  3. Step 3: Cross multiply
    121,086.38x = 166,219.13 × 166,219.13
  4. Step 4: Simplify right side
    121,086.38x = 27,628,797,515.77
  5. Step 5: Solve for x
    x = 27,628,797,515.77/121,086.38
  6. Step 6: Final answer
    x = 228,174.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.