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Finding the Third Proportional to 54,629 and 82,443

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Solution

The third proportional to 54,629 and 82,443 is: 124,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,629 : 82,443 = 82,443 : x
  2. Step 2: Convert to fraction form
    54,629/82,443 = 82,443/x
  3. Step 3: Cross multiply
    54,629x = 82,443 × 82,443
  4. Step 4: Simplify right side
    54,629x = 6,796,848,249
  5. Step 5: Solve for x
    x = 6,796,848,249/54,629
  6. Step 6: Final answer
    x = 124,418.32

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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.