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Finding the Third Proportional to 68,047.50 and 146,463

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Solution

The third proportional to 68,047.50 and 146,463 is: 315,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,047.50 : 146,463 = 146,463 : x
  2. Step 2: Convert to fraction form
    68,047.50/146,463 = 146,463/x
  3. Step 3: Cross multiply
    68,047.50x = 146,463 × 146,463
  4. Step 4: Simplify right side
    68,047.50x = 21,451,410,369
  5. Step 5: Solve for x
    x = 21,451,410,369/68,047.50
  6. Step 6: Final answer
    x = 315,241.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.