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Finding the Third Proportional to 54,872 and 73,559

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Solution

The third proportional to 54,872 and 73,559 is: 98,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,872 : 73,559 = 73,559 : x
  2. Step 2: Convert to fraction form
    54,872/73,559 = 73,559/x
  3. Step 3: Cross multiply
    54,872x = 73,559 × 73,559
  4. Step 4: Simplify right side
    54,872x = 5,410,926,481
  5. Step 5: Solve for x
    x = 5,410,926,481/54,872
  6. Step 6: Final answer
    x = 98,609.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.