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Finding the Third Proportional to 33,390 and 72,099

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Solution

The third proportional to 33,390 and 72,099 is: 155,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,390 : 72,099 = 72,099 : x
  2. Step 2: Convert to fraction form
    33,390/72,099 = 72,099/x
  3. Step 3: Cross multiply
    33,390x = 72,099 × 72,099
  4. Step 4: Simplify right side
    33,390x = 5,198,265,801
  5. Step 5: Solve for x
    x = 5,198,265,801/33,390
  6. Step 6: Final answer
    x = 155,683.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.