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Finding the Third Proportional to 47,084 and 67,112

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Solution

The third proportional to 47,084 and 67,112 is: 95,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,084 : 67,112 = 67,112 : x
  2. Step 2: Convert to fraction form
    47,084/67,112 = 67,112/x
  3. Step 3: Cross multiply
    47,084x = 67,112 × 67,112
  4. Step 4: Simplify right side
    47,084x = 4,504,020,544
  5. Step 5: Solve for x
    x = 4,504,020,544/47,084
  6. Step 6: Final answer
    x = 95,659.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.