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Finding the Third Proportional to 49,222 and 73,816

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Solution

The third proportional to 49,222 and 73,816 is: 110,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,222 : 73,816 = 73,816 : x
  2. Step 2: Convert to fraction form
    49,222/73,816 = 73,816/x
  3. Step 3: Cross multiply
    49,222x = 73,816 × 73,816
  4. Step 4: Simplify right side
    49,222x = 5,448,801,856
  5. Step 5: Solve for x
    x = 5,448,801,856/49,222
  6. Step 6: Final answer
    x = 110,698.51

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