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Finding the Third Proportional to 51,576 and 112,542

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Solution

The third proportional to 51,576 and 112,542 is: 245,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,576 : 112,542 = 112,542 : x
  2. Step 2: Convert to fraction form
    51,576/112,542 = 112,542/x
  3. Step 3: Cross multiply
    51,576x = 112,542 × 112,542
  4. Step 4: Simplify right side
    51,576x = 12,665,701,764
  5. Step 5: Solve for x
    x = 12,665,701,764/51,576
  6. Step 6: Final answer
    x = 245,573.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.