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Finding the Third Proportional to 54,774 and 112,144

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Solution

The third proportional to 54,774 and 112,144 is: 229,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,774 : 112,144 = 112,144 : x
  2. Step 2: Convert to fraction form
    54,774/112,144 = 112,144/x
  3. Step 3: Cross multiply
    54,774x = 112,144 × 112,144
  4. Step 4: Simplify right side
    54,774x = 12,576,276,736
  5. Step 5: Solve for x
    x = 12,576,276,736/54,774
  6. Step 6: Final answer
    x = 229,603.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.