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Finding the Third Proportional to 54,468 and 82,161

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Solution

The third proportional to 54,468 and 82,161 is: 123,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,468 : 82,161 = 82,161 : x
  2. Step 2: Convert to fraction form
    54,468/82,161 = 82,161/x
  3. Step 3: Cross multiply
    54,468x = 82,161 × 82,161
  4. Step 4: Simplify right side
    54,468x = 6,750,429,921
  5. Step 5: Solve for x
    x = 6,750,429,921/54,468
  6. Step 6: Final answer
    x = 123,933.87

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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.