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Finding the Third Proportional to 33,278 and 72,093

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Solution

The third proportional to 33,278 and 72,093 is: 156,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,278 : 72,093 = 72,093 : x
  2. Step 2: Convert to fraction form
    33,278/72,093 = 72,093/x
  3. Step 3: Cross multiply
    33,278x = 72,093 × 72,093
  4. Step 4: Simplify right side
    33,278x = 5,197,400,649
  5. Step 5: Solve for x
    x = 5,197,400,649/33,278
  6. Step 6: Final answer
    x = 156,181.28

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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.