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Finding the Third Proportional to 54,992 and 122,576

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Solution

The third proportional to 54,992 and 122,576 is: 273,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,992 : 122,576 = 122,576 : x
  2. Step 2: Convert to fraction form
    54,992/122,576 = 122,576/x
  3. Step 3: Cross multiply
    54,992x = 122,576 × 122,576
  4. Step 4: Simplify right side
    54,992x = 15,024,875,776
  5. Step 5: Solve for x
    x = 15,024,875,776/54,992
  6. Step 6: Final answer
    x = 273,219.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.