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Finding the Third Proportional to 80,608 and 127,096

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Solution

The third proportional to 80,608 and 127,096 is: 200,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,608 : 127,096 = 127,096 : x
  2. Step 2: Convert to fraction form
    80,608/127,096 = 127,096/x
  3. Step 3: Cross multiply
    80,608x = 127,096 × 127,096
  4. Step 4: Simplify right side
    80,608x = 16,153,393,216
  5. Step 5: Solve for x
    x = 16,153,393,216/80,608
  6. Step 6: Final answer
    x = 200,394.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.