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Finding the Third Proportional to 53,538 and 80,463

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Solution

The third proportional to 53,538 and 80,463 is: 120,928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538 : 80,463 = 80,463 : x
  2. Step 2: Convert to fraction form
    53,538/80,463 = 80,463/x
  3. Step 3: Cross multiply
    53,538x = 80,463 × 80,463
  4. Step 4: Simplify right side
    53,538x = 6,474,294,369
  5. Step 5: Solve for x
    x = 6,474,294,369/53,538
  6. Step 6: Final answer
    x = 120,928.95

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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.