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Finding the Third Proportional to 54,682 and 81,736

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Solution

The third proportional to 54,682 and 81,736 is: 122,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682 : 81,736 = 81,736 : x
  2. Step 2: Convert to fraction form
    54,682/81,736 = 81,736/x
  3. Step 3: Cross multiply
    54,682x = 81,736 × 81,736
  4. Step 4: Simplify right side
    54,682x = 6,680,773,696
  5. Step 5: Solve for x
    x = 6,680,773,696/54,682
  6. Step 6: Final answer
    x = 122,175.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.