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Finding the Third Proportional to 54,106 and 115,682

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Solution

The third proportional to 54,106 and 115,682 is: 247,335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,106 : 115,682 = 115,682 : x
  2. Step 2: Convert to fraction form
    54,106/115,682 = 115,682/x
  3. Step 3: Cross multiply
    54,106x = 115,682 × 115,682
  4. Step 4: Simplify right side
    54,106x = 13,382,325,124
  5. Step 5: Solve for x
    x = 13,382,325,124/54,106
  6. Step 6: Final answer
    x = 247,335.33

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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.