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Finding the Third Proportional to 54,814 and 82,001

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Solution

The third proportional to 54,814 and 82,001 is: 122,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,814 : 82,001 = 82,001 : x
  2. Step 2: Convert to fraction form
    54,814/82,001 = 82,001/x
  3. Step 3: Cross multiply
    54,814x = 82,001 × 82,001
  4. Step 4: Simplify right side
    54,814x = 6,724,164,001
  5. Step 5: Solve for x
    x = 6,724,164,001/54,814
  6. Step 6: Final answer
    x = 122,672.38

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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.