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Finding the Third Proportional to 43,540 and 93,450

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Solution

The third proportional to 43,540 and 93,450 is: 200,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,540 : 93,450 = 93,450 : x
  2. Step 2: Convert to fraction form
    43,540/93,450 = 93,450/x
  3. Step 3: Cross multiply
    43,540x = 93,450 × 93,450
  4. Step 4: Simplify right side
    43,540x = 8,732,902,500
  5. Step 5: Solve for x
    x = 8,732,902,500/43,540
  6. Step 6: Final answer
    x = 200,571.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.