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Finding the Third Proportional to 43,600 and 92,436

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Solution

The third proportional to 43,600 and 92,436 is: 195,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,600 : 92,436 = 92,436 : x
  2. Step 2: Convert to fraction form
    43,600/92,436 = 92,436/x
  3. Step 3: Cross multiply
    43,600x = 92,436 × 92,436
  4. Step 4: Simplify right side
    43,600x = 8,544,414,096
  5. Step 5: Solve for x
    x = 8,544,414,096/43,600
  6. Step 6: Final answer
    x = 195,972.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.