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Finding the Third Proportional to 54,056 and 111,582

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Solution

The third proportional to 54,056 and 111,582 is: 230,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,056 : 111,582 = 111,582 : x
  2. Step 2: Convert to fraction form
    54,056/111,582 = 111,582/x
  3. Step 3: Cross multiply
    54,056x = 111,582 × 111,582
  4. Step 4: Simplify right side
    54,056x = 12,450,542,724
  5. Step 5: Solve for x
    x = 12,450,542,724/54,056
  6. Step 6: Final answer
    x = 230,326.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.