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Finding the Third Proportional to 54,922 and 82,194

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Solution

The third proportional to 54,922 and 82,194 is: 123,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,922 : 82,194 = 82,194 : x
  2. Step 2: Convert to fraction form
    54,922/82,194 = 82,194/x
  3. Step 3: Cross multiply
    54,922x = 82,194 × 82,194
  4. Step 4: Simplify right side
    54,922x = 6,755,853,636
  5. Step 5: Solve for x
    x = 6,755,853,636/54,922
  6. Step 6: Final answer
    x = 123,008.15

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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.