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Finding the Third Proportional to 51,853.78 and 113,093.16

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Solution

The third proportional to 51,853.78 and 113,093.16 is: 246,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,853.78 : 113,093.16 = 113,093.16 : x
  2. Step 2: Convert to fraction form
    51,853.78/113,093.16 = 113,093.16/x
  3. Step 3: Cross multiply
    51,853.78x = 113,093.16 × 113,093.16
  4. Step 4: Simplify right side
    51,853.78x = 12,790,061,990.59
  5. Step 5: Solve for x
    x = 12,790,061,990.59/51,853.78
  6. Step 6: Final answer
    x = 246,656.30

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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.