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Finding the Third Proportional to 49,225.50 and 106,767

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Solution

The third proportional to 49,225.50 and 106,767 is: 231,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,225.50 : 106,767 = 106,767 : x
  2. Step 2: Convert to fraction form
    49,225.50/106,767 = 106,767/x
  3. Step 3: Cross multiply
    49,225.50x = 106,767 × 106,767
  4. Step 4: Simplify right side
    49,225.50x = 11,399,192,289
  5. Step 5: Solve for x
    x = 11,399,192,289/49,225.50
  6. Step 6: Final answer
    x = 231,570.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.