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Finding the Third Proportional to 51,772.50 and 113,238

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Solution

The third proportional to 51,772.50 and 113,238 is: 247,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772.50 : 113,238 = 113,238 : x
  2. Step 2: Convert to fraction form
    51,772.50/113,238 = 113,238/x
  3. Step 3: Cross multiply
    51,772.50x = 113,238 × 113,238
  4. Step 4: Simplify right side
    51,772.50x = 12,822,844,644
  5. Step 5: Solve for x
    x = 12,822,844,644/51,772.50
  6. Step 6: Final answer
    x = 247,676.75

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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.