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Finding the Third Proportional to 54,576 and 87,552

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Solution

The third proportional to 54,576 and 87,552 is: 140,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,576 : 87,552 = 87,552 : x
  2. Step 2: Convert to fraction form
    54,576/87,552 = 87,552/x
  3. Step 3: Cross multiply
    54,576x = 87,552 × 87,552
  4. Step 4: Simplify right side
    54,576x = 7,665,352,704
  5. Step 5: Solve for x
    x = 7,665,352,704/54,576
  6. Step 6: Final answer
    x = 140,452.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.