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Finding the Third Proportional to 54,714 and 82,125

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Solution

The third proportional to 54,714 and 82,125 is: 123,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,714 : 82,125 = 82,125 : x
  2. Step 2: Convert to fraction form
    54,714/82,125 = 82,125/x
  3. Step 3: Cross multiply
    54,714x = 82,125 × 82,125
  4. Step 4: Simplify right side
    54,714x = 6,744,515,625
  5. Step 5: Solve for x
    x = 6,744,515,625/54,714
  6. Step 6: Final answer
    x = 123,268.55

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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.