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Finding the Third Proportional to 112,286.25 and 168,885

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Solution

The third proportional to 112,286.25 and 168,885 is: 254,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,286.25 : 168,885 = 168,885 : x
  2. Step 2: Convert to fraction form
    112,286.25/168,885 = 168,885/x
  3. Step 3: Cross multiply
    112,286.25x = 168,885 × 168,885
  4. Step 4: Simplify right side
    112,286.25x = 28,522,143,225
  5. Step 5: Solve for x
    x = 28,522,143,225/112,286.25
  6. Step 6: Final answer
    x = 254,012.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.