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Finding the Third Proportional to 54,786 and 82,494

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Solution

The third proportional to 54,786 and 82,494 is: 124,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,786 : 82,494 = 82,494 : x
  2. Step 2: Convert to fraction form
    54,786/82,494 = 82,494/x
  3. Step 3: Cross multiply
    54,786x = 82,494 × 82,494
  4. Step 4: Simplify right side
    54,786x = 6,805,260,036
  5. Step 5: Solve for x
    x = 6,805,260,036/54,786
  6. Step 6: Final answer
    x = 124,215.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.