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Finding the Third Proportional to 102,800 and 150,296

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Solution

The third proportional to 102,800 and 150,296 is: 219,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,800 : 150,296 = 150,296 : x
  2. Step 2: Convert to fraction form
    102,800/150,296 = 150,296/x
  3. Step 3: Cross multiply
    102,800x = 150,296 × 150,296
  4. Step 4: Simplify right side
    102,800x = 22,588,887,616
  5. Step 5: Solve for x
    x = 22,588,887,616/102,800
  6. Step 6: Final answer
    x = 219,736.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.