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Finding the Third Proportional to 54,476 and 73,932

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Solution

The third proportional to 54,476 and 73,932 is: 100,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,476 : 73,932 = 73,932 : x
  2. Step 2: Convert to fraction form
    54,476/73,932 = 73,932/x
  3. Step 3: Cross multiply
    54,476x = 73,932 × 73,932
  4. Step 4: Simplify right side
    54,476x = 5,465,940,624
  5. Step 5: Solve for x
    x = 5,465,940,624/54,476
  6. Step 6: Final answer
    x = 100,336.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.