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Finding the Third Proportional to 82,992 and 108,936

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Solution

The third proportional to 82,992 and 108,936 is: 142,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,992 : 108,936 = 108,936 : x
  2. Step 2: Convert to fraction form
    82,992/108,936 = 108,936/x
  3. Step 3: Cross multiply
    82,992x = 108,936 × 108,936
  4. Step 4: Simplify right side
    82,992x = 11,867,052,096
  5. Step 5: Solve for x
    x = 11,867,052,096/82,992
  6. Step 6: Final answer
    x = 142,990.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.