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Finding the Third Proportional to 39,189 and 92,496

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Solution

The third proportional to 39,189 and 92,496 is: 218,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,189 : 92,496 = 92,496 : x
  2. Step 2: Convert to fraction form
    39,189/92,496 = 92,496/x
  3. Step 3: Cross multiply
    39,189x = 92,496 × 92,496
  4. Step 4: Simplify right side
    39,189x = 8,555,510,016
  5. Step 5: Solve for x
    x = 8,555,510,016/39,189
  6. Step 6: Final answer
    x = 218,314.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.