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Finding the Third Proportional to 50,512 and 110,240

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Solution

The third proportional to 50,512 and 110,240 is: 240,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,512 : 110,240 = 110,240 : x
  2. Step 2: Convert to fraction form
    50,512/110,240 = 110,240/x
  3. Step 3: Cross multiply
    50,512x = 110,240 × 110,240
  4. Step 4: Simplify right side
    50,512x = 12,152,857,600
  5. Step 5: Solve for x
    x = 12,152,857,600/50,512
  6. Step 6: Final answer
    x = 240,593.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.