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Finding the Third Proportional to 52,717.50 and 113,738.75

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Solution

The third proportional to 52,717.50 and 113,738.75 is: 245,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,717.50 : 113,738.75 = 113,738.75 : x
  2. Step 2: Convert to fraction form
    52,717.50/113,738.75 = 113,738.75/x
  3. Step 3: Cross multiply
    52,717.50x = 113,738.75 × 113,738.75
  4. Step 4: Simplify right side
    52,717.50x = 12,936,503,251.56
  5. Step 5: Solve for x
    x = 12,936,503,251.56/52,717.50
  6. Step 6: Final answer
    x = 245,392.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.