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Finding the Third Proportional to 51,578 and 111,576

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Solution

The third proportional to 51,578 and 111,576 is: 241,366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,578 : 111,576 = 111,576 : x
  2. Step 2: Convert to fraction form
    51,578/111,576 = 111,576/x
  3. Step 3: Cross multiply
    51,578x = 111,576 × 111,576
  4. Step 4: Simplify right side
    51,578x = 12,449,203,776
  5. Step 5: Solve for x
    x = 12,449,203,776/51,578
  6. Step 6: Final answer
    x = 241,366.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.