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Finding the Third Proportional to 31,145.75 and 68,325

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Solution

The third proportional to 31,145.75 and 68,325 is: 149,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.75 : 68,325 = 68,325 : x
  2. Step 2: Convert to fraction form
    31,145.75/68,325 = 68,325/x
  3. Step 3: Cross multiply
    31,145.75x = 68,325 × 68,325
  4. Step 4: Simplify right side
    31,145.75x = 4,668,305,625
  5. Step 5: Solve for x
    x = 4,668,305,625/31,145.75
  6. Step 6: Final answer
    x = 149,885.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.