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Finding the Third Proportional to 32,923 and 72,092

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Solution

The third proportional to 32,923 and 72,092 is: 157,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,923 : 72,092 = 72,092 : x
  2. Step 2: Convert to fraction form
    32,923/72,092 = 72,092/x
  3. Step 3: Cross multiply
    32,923x = 72,092 × 72,092
  4. Step 4: Simplify right side
    32,923x = 5,197,256,464
  5. Step 5: Solve for x
    x = 5,197,256,464/32,923
  6. Step 6: Final answer
    x = 157,860.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.