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Finding the Third Proportional to 51,888.94 and 113,391.56

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Solution

The third proportional to 51,888.94 and 113,391.56 is: 247,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,888.94 : 113,391.56 = 113,391.56 : x
  2. Step 2: Convert to fraction form
    51,888.94/113,391.56 = 113,391.56/x
  3. Step 3: Cross multiply
    51,888.94x = 113,391.56 × 113,391.56
  4. Step 4: Simplify right side
    51,888.94x = 12,857,646,446.19
  5. Step 5: Solve for x
    x = 12,857,646,446.19/51,888.94
  6. Step 6: Final answer
    x = 247,791.67

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Why These Related Problems?

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