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Finding the Third Proportional to 54,546 and 117,678

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Solution

The third proportional to 54,546 and 117,678 is: 253,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,546 : 117,678 = 117,678 : x
  2. Step 2: Convert to fraction form
    54,546/117,678 = 117,678/x
  3. Step 3: Cross multiply
    54,546x = 117,678 × 117,678
  4. Step 4: Simplify right side
    54,546x = 13,848,111,684
  5. Step 5: Solve for x
    x = 13,848,111,684/54,546
  6. Step 6: Final answer
    x = 253,879.51

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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.