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Finding the Third Proportional to 51,936 and 113,700

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Solution

The third proportional to 51,936 and 113,700 is: 248,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,936 : 113,700 = 113,700 : x
  2. Step 2: Convert to fraction form
    51,936/113,700 = 113,700/x
  3. Step 3: Cross multiply
    51,936x = 113,700 × 113,700
  4. Step 4: Simplify right side
    51,936x = 12,927,690,000
  5. Step 5: Solve for x
    x = 12,927,690,000/51,936
  6. Step 6: Final answer
    x = 248,915.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.