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Finding the Third Proportional to 54,576 and 117,762

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Solution

The third proportional to 54,576 and 117,762 is: 254,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,576 : 117,762 = 117,762 : x
  2. Step 2: Convert to fraction form
    54,576/117,762 = 117,762/x
  3. Step 3: Cross multiply
    54,576x = 117,762 × 117,762
  4. Step 4: Simplify right side
    54,576x = 13,867,888,644
  5. Step 5: Solve for x
    x = 13,867,888,644/54,576
  6. Step 6: Final answer
    x = 254,102.33

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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.