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Finding the Third Proportional to 54,954 and 82,395

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Solution

The third proportional to 54,954 and 82,395 is: 123,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,954 : 82,395 = 82,395 : x
  2. Step 2: Convert to fraction form
    54,954/82,395 = 82,395/x
  3. Step 3: Cross multiply
    54,954x = 82,395 × 82,395
  4. Step 4: Simplify right side
    54,954x = 6,788,936,025
  5. Step 5: Solve for x
    x = 6,788,936,025/54,954
  6. Step 6: Final answer
    x = 123,538.52

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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.