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Finding the Third Proportional to 54,688 and 117,916

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Solution

The third proportional to 54,688 and 117,916 is: 254,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,688 : 117,916 = 117,916 : x
  2. Step 2: Convert to fraction form
    54,688/117,916 = 117,916/x
  3. Step 3: Cross multiply
    54,688x = 117,916 × 117,916
  4. Step 4: Simplify right side
    54,688x = 13,904,183,056
  5. Step 5: Solve for x
    x = 13,904,183,056/54,688
  6. Step 6: Final answer
    x = 254,245.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.