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Finding the Third Proportional to 50,256 and 108,144

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Solution

The third proportional to 50,256 and 108,144 is: 232,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,256 : 108,144 = 108,144 : x
  2. Step 2: Convert to fraction form
    50,256/108,144 = 108,144/x
  3. Step 3: Cross multiply
    50,256x = 108,144 × 108,144
  4. Step 4: Simplify right side
    50,256x = 11,695,124,736
  5. Step 5: Solve for x
    x = 11,695,124,736/50,256
  6. Step 6: Final answer
    x = 232,711.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.