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Finding the Third Proportional to 43,912 and 85,616

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Solution

The third proportional to 43,912 and 85,616 is: 166,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,912 : 85,616 = 85,616 : x
  2. Step 2: Convert to fraction form
    43,912/85,616 = 85,616/x
  3. Step 3: Cross multiply
    43,912x = 85,616 × 85,616
  4. Step 4: Simplify right side
    43,912x = 7,330,099,456
  5. Step 5: Solve for x
    x = 7,330,099,456/43,912
  6. Step 6: Final answer
    x = 166,927.02

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.