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Finding the Third Proportional to 47,722 and 107,816

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Solution

The third proportional to 47,722 and 107,816 is: 243,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,722 : 107,816 = 107,816 : x
  2. Step 2: Convert to fraction form
    47,722/107,816 = 107,816/x
  3. Step 3: Cross multiply
    47,722x = 107,816 × 107,816
  4. Step 4: Simplify right side
    47,722x = 11,624,289,856
  5. Step 5: Solve for x
    x = 11,624,289,856/47,722
  6. Step 6: Final answer
    x = 243,583.46

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.