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Finding the Third Proportional to 59,541 and 80,775

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Solution

The third proportional to 59,541 and 80,775 is: 109,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,541 : 80,775 = 80,775 : x
  2. Step 2: Convert to fraction form
    59,541/80,775 = 80,775/x
  3. Step 3: Cross multiply
    59,541x = 80,775 × 80,775
  4. Step 4: Simplify right side
    59,541x = 6,524,600,625
  5. Step 5: Solve for x
    x = 6,524,600,625/59,541
  6. Step 6: Final answer
    x = 109,581.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.