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Finding the Third Proportional to 54,516 and 73,634

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Solution

The third proportional to 54,516 and 73,634 is: 99,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,516 : 73,634 = 73,634 : x
  2. Step 2: Convert to fraction form
    54,516/73,634 = 73,634/x
  3. Step 3: Cross multiply
    54,516x = 73,634 × 73,634
  4. Step 4: Simplify right side
    54,516x = 5,421,965,956
  5. Step 5: Solve for x
    x = 5,421,965,956/54,516
  6. Step 6: Final answer
    x = 99,456.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.