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Finding the Third Proportional to 39,192 and 92,436

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Solution

The third proportional to 39,192 and 92,436 is: 218,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,192 : 92,436 = 92,436 : x
  2. Step 2: Convert to fraction form
    39,192/92,436 = 92,436/x
  3. Step 3: Cross multiply
    39,192x = 92,436 × 92,436
  4. Step 4: Simplify right side
    39,192x = 8,544,414,096
  5. Step 5: Solve for x
    x = 8,544,414,096/39,192
  6. Step 6: Final answer
    x = 218,014.24

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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.