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Finding the Third Proportional to 54,474 and 73,929

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Solution

The third proportional to 54,474 and 73,929 is: 100,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,474 : 73,929 = 73,929 : x
  2. Step 2: Convert to fraction form
    54,474/73,929 = 73,929/x
  3. Step 3: Cross multiply
    54,474x = 73,929 × 73,929
  4. Step 4: Simplify right side
    54,474x = 5,465,497,041
  5. Step 5: Solve for x
    x = 5,465,497,041/54,474
  6. Step 6: Final answer
    x = 100,332.21

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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.