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Finding the Third Proportional to 54,523.50 and 80,001

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Solution

The third proportional to 54,523.50 and 80,001 is: 117,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,523.50 : 80,001 = 80,001 : x
  2. Step 2: Convert to fraction form
    54,523.50/80,001 = 80,001/x
  3. Step 3: Cross multiply
    54,523.50x = 80,001 × 80,001
  4. Step 4: Simplify right side
    54,523.50x = 6,400,160,001
  5. Step 5: Solve for x
    x = 6,400,160,001/54,523.50
  6. Step 6: Final answer
    x = 117,383.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.