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Finding the Third Proportional to 39,273 and 86,325

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Solution

The third proportional to 39,273 and 86,325 is: 189,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,273 : 86,325 = 86,325 : x
  2. Step 2: Convert to fraction form
    39,273/86,325 = 86,325/x
  3. Step 3: Cross multiply
    39,273x = 86,325 × 86,325
  4. Step 4: Simplify right side
    39,273x = 7,452,005,625
  5. Step 5: Solve for x
    x = 7,452,005,625/39,273
  6. Step 6: Final answer
    x = 189,748.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.