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Finding the Third Proportional to 102,944 and 159,296

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Solution

The third proportional to 102,944 and 159,296 is: 246,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,944 : 159,296 = 159,296 : x
  2. Step 2: Convert to fraction form
    102,944/159,296 = 159,296/x
  3. Step 3: Cross multiply
    102,944x = 159,296 × 159,296
  4. Step 4: Simplify right side
    102,944x = 25,375,215,616
  5. Step 5: Solve for x
    x = 25,375,215,616/102,944
  6. Step 6: Final answer
    x = 246,495.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.