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Finding the Third Proportional to 39,452 and 86,188

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Solution

The third proportional to 39,452 and 86,188 is: 188,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,452 : 86,188 = 86,188 : x
  2. Step 2: Convert to fraction form
    39,452/86,188 = 86,188/x
  3. Step 3: Cross multiply
    39,452x = 86,188 × 86,188
  4. Step 4: Simplify right side
    39,452x = 7,428,371,344
  5. Step 5: Solve for x
    x = 7,428,371,344/39,452
  6. Step 6: Final answer
    x = 188,288.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.