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Finding the Third Proportional to 48,999 and 106,296

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Solution

The third proportional to 48,999 and 106,296 is: 230,593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,999 : 106,296 = 106,296 : x
  2. Step 2: Convert to fraction form
    48,999/106,296 = 106,296/x
  3. Step 3: Cross multiply
    48,999x = 106,296 × 106,296
  4. Step 4: Simplify right side
    48,999x = 11,298,839,616
  5. Step 5: Solve for x
    x = 11,298,839,616/48,999
  6. Step 6: Final answer
    x = 230,593.27

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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.