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Finding the Third Proportional to 54,334 and 114,568

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Solution

The third proportional to 54,334 and 114,568 is: 241,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,334 : 114,568 = 114,568 : x
  2. Step 2: Convert to fraction form
    54,334/114,568 = 114,568/x
  3. Step 3: Cross multiply
    54,334x = 114,568 × 114,568
  4. Step 4: Simplify right side
    54,334x = 13,125,826,624
  5. Step 5: Solve for x
    x = 13,125,826,624/54,334
  6. Step 6: Final answer
    x = 241,576.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.