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Finding the Third Proportional to 54,698 and 119,682

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Solution

The third proportional to 54,698 and 119,682 is: 261,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698 : 119,682 = 119,682 : x
  2. Step 2: Convert to fraction form
    54,698/119,682 = 119,682/x
  3. Step 3: Cross multiply
    54,698x = 119,682 × 119,682
  4. Step 4: Simplify right side
    54,698x = 14,323,781,124
  5. Step 5: Solve for x
    x = 14,323,781,124/54,698
  6. Step 6: Final answer
    x = 261,870.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.