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Finding the Third Proportional to 54,822 and 82,012

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Solution

The third proportional to 54,822 and 82,012 is: 122,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,822 : 82,012 = 82,012 : x
  2. Step 2: Convert to fraction form
    54,822/82,012 = 82,012/x
  3. Step 3: Cross multiply
    54,822x = 82,012 × 82,012
  4. Step 4: Simplify right side
    54,822x = 6,725,968,144
  5. Step 5: Solve for x
    x = 6,725,968,144/54,822
  6. Step 6: Final answer
    x = 122,687.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.