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Finding the Third Proportional to 52,238 and 113,800

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Solution

The third proportional to 52,238 and 113,800 is: 247,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,238 : 113,800 = 113,800 : x
  2. Step 2: Convert to fraction form
    52,238/113,800 = 113,800/x
  3. Step 3: Cross multiply
    52,238x = 113,800 × 113,800
  4. Step 4: Simplify right side
    52,238x = 12,950,440,000
  5. Step 5: Solve for x
    x = 12,950,440,000/52,238
  6. Step 6: Final answer
    x = 247,912.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.