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Finding the Third Proportional to 54,736 and 117,915

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Solution

The third proportional to 54,736 and 117,915 is: 254,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,736 : 117,915 = 117,915 : x
  2. Step 2: Convert to fraction form
    54,736/117,915 = 117,915/x
  3. Step 3: Cross multiply
    54,736x = 117,915 × 117,915
  4. Step 4: Simplify right side
    54,736x = 13,903,947,225
  5. Step 5: Solve for x
    x = 13,903,947,225/54,736
  6. Step 6: Final answer
    x = 254,018.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.