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Finding the Third Proportional to 54,039 and 112,225

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Solution

The third proportional to 54,039 and 112,225 is: 233,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,039 : 112,225 = 112,225 : x
  2. Step 2: Convert to fraction form
    54,039/112,225 = 112,225/x
  3. Step 3: Cross multiply
    54,039x = 112,225 × 112,225
  4. Step 4: Simplify right side
    54,039x = 12,594,450,625
  5. Step 5: Solve for x
    x = 12,594,450,625/54,039
  6. Step 6: Final answer
    x = 233,062.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.