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Finding the Third Proportional to 33,094 and 72,137

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Solution

The third proportional to 33,094 and 72,137 is: 157,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,094 : 72,137 = 72,137 : x
  2. Step 2: Convert to fraction form
    33,094/72,137 = 72,137/x
  3. Step 3: Cross multiply
    33,094x = 72,137 × 72,137
  4. Step 4: Simplify right side
    33,094x = 5,203,746,769
  5. Step 5: Solve for x
    x = 5,203,746,769/33,094
  6. Step 6: Final answer
    x = 157,241.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.