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Finding the Third Proportional to 33,174 and 72,119.25

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Solution

The third proportional to 33,174 and 72,119.25 is: 156,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,174 : 72,119.25 = 72,119.25 : x
  2. Step 2: Convert to fraction form
    33,174/72,119.25 = 72,119.25/x
  3. Step 3: Cross multiply
    33,174x = 72,119.25 × 72,119.25
  4. Step 4: Simplify right side
    33,174x = 5,201,186,220.56
  5. Step 5: Solve for x
    x = 5,201,186,220.56/33,174
  6. Step 6: Final answer
    x = 156,785.02

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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.