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Finding the Third Proportional to 67,589.50 and 139,463

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Solution

The third proportional to 67,589.50 and 139,463 is: 287,765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,589.50 : 139,463 = 139,463 : x
  2. Step 2: Convert to fraction form
    67,589.50/139,463 = 139,463/x
  3. Step 3: Cross multiply
    67,589.50x = 139,463 × 139,463
  4. Step 4: Simplify right side
    67,589.50x = 19,449,928,369
  5. Step 5: Solve for x
    x = 19,449,928,369/67,589.50
  6. Step 6: Final answer
    x = 287,765.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.