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Finding the Third Proportional to 54,684 and 117,992

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Solution

The third proportional to 54,684 and 117,992 is: 254,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684 : 117,992 = 117,992 : x
  2. Step 2: Convert to fraction form
    54,684/117,992 = 117,992/x
  3. Step 3: Cross multiply
    54,684x = 117,992 × 117,992
  4. Step 4: Simplify right side
    54,684x = 13,922,112,064
  5. Step 5: Solve for x
    x = 13,922,112,064/54,684
  6. Step 6: Final answer
    x = 254,592.06

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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.