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Finding the Third Proportional to 49,250 and 73,856

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Solution

The third proportional to 49,250 and 73,856 is: 110,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,250 : 73,856 = 73,856 : x
  2. Step 2: Convert to fraction form
    49,250/73,856 = 73,856/x
  3. Step 3: Cross multiply
    49,250x = 73,856 × 73,856
  4. Step 4: Simplify right side
    49,250x = 5,454,708,736
  5. Step 5: Solve for x
    x = 5,454,708,736/49,250
  6. Step 6: Final answer
    x = 110,755.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.