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Finding the Third Proportional to 67,163.50 and 141,250.50

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Solution

The third proportional to 67,163.50 and 141,250.50 is: 297,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,163.50 : 141,250.50 = 141,250.50 : x
  2. Step 2: Convert to fraction form
    67,163.50/141,250.50 = 141,250.50/x
  3. Step 3: Cross multiply
    67,163.50x = 141,250.50 × 141,250.50
  4. Step 4: Simplify right side
    67,163.50x = 19,951,703,750.25
  5. Step 5: Solve for x
    x = 19,951,703,750.25/67,163.50
  6. Step 6: Final answer
    x = 297,061.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.