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Finding the Third Proportional to 52,571 and 113,890

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Solution

The third proportional to 52,571 and 113,890 is: 246,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,571 : 113,890 = 113,890 : x
  2. Step 2: Convert to fraction form
    52,571/113,890 = 113,890/x
  3. Step 3: Cross multiply
    52,571x = 113,890 × 113,890
  4. Step 4: Simplify right side
    52,571x = 12,970,932,100
  5. Step 5: Solve for x
    x = 12,970,932,100/52,571
  6. Step 6: Final answer
    x = 246,731.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.