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Finding the Third Proportional to 51,792 and 113,062

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Solution

The third proportional to 51,792 and 113,062 is: 246,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,792 : 113,062 = 113,062 : x
  2. Step 2: Convert to fraction form
    51,792/113,062 = 113,062/x
  3. Step 3: Cross multiply
    51,792x = 113,062 × 113,062
  4. Step 4: Simplify right side
    51,792x = 12,783,015,844
  5. Step 5: Solve for x
    x = 12,783,015,844/51,792
  6. Step 6: Final answer
    x = 246,814.49

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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.