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Finding the Third Proportional to 53,559 and 80,181

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Solution

The third proportional to 53,559 and 80,181 is: 120,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,559 : 80,181 = 80,181 : x
  2. Step 2: Convert to fraction form
    53,559/80,181 = 80,181/x
  3. Step 3: Cross multiply
    53,559x = 80,181 × 80,181
  4. Step 4: Simplify right side
    53,559x = 6,428,992,761
  5. Step 5: Solve for x
    x = 6,428,992,761/53,559
  6. Step 6: Final answer
    x = 120,035.71

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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.