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Finding the Third Proportional to 54,338 and 112,168

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Solution

The third proportional to 54,338 and 112,168 is: 231,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,338 : 112,168 = 112,168 : x
  2. Step 2: Convert to fraction form
    54,338/112,168 = 112,168/x
  3. Step 3: Cross multiply
    54,338x = 112,168 × 112,168
  4. Step 4: Simplify right side
    54,338x = 12,581,660,224
  5. Step 5: Solve for x
    x = 12,581,660,224/54,338
  6. Step 6: Final answer
    x = 231,544.41

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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.