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Finding the Third Proportional to 56,983.50 and 120,285

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Solution

The third proportional to 56,983.50 and 120,285 is: 253,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,983.50 : 120,285 = 120,285 : x
  2. Step 2: Convert to fraction form
    56,983.50/120,285 = 120,285/x
  3. Step 3: Cross multiply
    56,983.50x = 120,285 × 120,285
  4. Step 4: Simplify right side
    56,983.50x = 14,468,481,225
  5. Step 5: Solve for x
    x = 14,468,481,225/56,983.50
  6. Step 6: Final answer
    x = 253,906.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.