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Finding the Third Proportional to 43,692 and 93,616

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Solution

The third proportional to 43,692 and 93,616 is: 200,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,692 : 93,616 = 93,616 : x
  2. Step 2: Convert to fraction form
    43,692/93,616 = 93,616/x
  3. Step 3: Cross multiply
    43,692x = 93,616 × 93,616
  4. Step 4: Simplify right side
    43,692x = 8,763,955,456
  5. Step 5: Solve for x
    x = 8,763,955,456/43,692
  6. Step 6: Final answer
    x = 200,584.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.