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Finding the Third Proportional to 54,954 and 117,682

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Solution

The third proportional to 54,954 and 117,682 is: 252,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,954 : 117,682 = 117,682 : x
  2. Step 2: Convert to fraction form
    54,954/117,682 = 117,682/x
  3. Step 3: Cross multiply
    54,954x = 117,682 × 117,682
  4. Step 4: Simplify right side
    54,954x = 13,849,053,124
  5. Step 5: Solve for x
    x = 13,849,053,124/54,954
  6. Step 6: Final answer
    x = 252,011.74

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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.