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Finding the Third Proportional to 54,682 and 118,850

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Solution

The third proportional to 54,682 and 118,850 is: 258,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682 : 118,850 = 118,850 : x
  2. Step 2: Convert to fraction form
    54,682/118,850 = 118,850/x
  3. Step 3: Cross multiply
    54,682x = 118,850 × 118,850
  4. Step 4: Simplify right side
    54,682x = 14,125,322,500
  5. Step 5: Solve for x
    x = 14,125,322,500/54,682
  6. Step 6: Final answer
    x = 258,317.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.