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Finding the Third Proportional to 23,920 and 50,144

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Solution

The third proportional to 23,920 and 50,144 is: 105,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,920 : 50,144 = 50,144 : x
  2. Step 2: Convert to fraction form
    23,920/50,144 = 50,144/x
  3. Step 3: Cross multiply
    23,920x = 50,144 × 50,144
  4. Step 4: Simplify right side
    23,920x = 2,514,420,736
  5. Step 5: Solve for x
    x = 2,514,420,736/23,920
  6. Step 6: Final answer
    x = 105,117.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.