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Finding the Third Proportional to 57,096 and 86,992

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Solution

The third proportional to 57,096 and 86,992 is: 132,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,096 : 86,992 = 86,992 : x
  2. Step 2: Convert to fraction form
    57,096/86,992 = 86,992/x
  3. Step 3: Cross multiply
    57,096x = 86,992 × 86,992
  4. Step 4: Simplify right side
    57,096x = 7,567,608,064
  5. Step 5: Solve for x
    x = 7,567,608,064/57,096
  6. Step 6: Final answer
    x = 132,541.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.