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Finding the Third Proportional to 54,954 and 117,681

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Solution

The third proportional to 54,954 and 117,681 is: 252,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,954 : 117,681 = 117,681 : x
  2. Step 2: Convert to fraction form
    54,954/117,681 = 117,681/x
  3. Step 3: Cross multiply
    54,954x = 117,681 × 117,681
  4. Step 4: Simplify right side
    54,954x = 13,848,817,761
  5. Step 5: Solve for x
    x = 13,848,817,761/54,954
  6. Step 6: Final answer
    x = 252,007.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.