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Finding the Third Proportional to 43,317 and 92,100

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Solution

The third proportional to 43,317 and 92,100 is: 195,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,317 : 92,100 = 92,100 : x
  2. Step 2: Convert to fraction form
    43,317/92,100 = 92,100/x
  3. Step 3: Cross multiply
    43,317x = 92,100 × 92,100
  4. Step 4: Simplify right side
    43,317x = 8,482,410,000
  5. Step 5: Solve for x
    x = 8,482,410,000/43,317
  6. Step 6: Final answer
    x = 195,821.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.