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Finding the Third Proportional to 23,133 and 50,151

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Solution

The third proportional to 23,133 and 50,151 is: 108,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133 : 50,151 = 50,151 : x
  2. Step 2: Convert to fraction form
    23,133/50,151 = 50,151/x
  3. Step 3: Cross multiply
    23,133x = 50,151 × 50,151
  4. Step 4: Simplify right side
    23,133x = 2,515,122,801
  5. Step 5: Solve for x
    x = 2,515,122,801/23,133
  6. Step 6: Final answer
    x = 108,724.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.