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Finding the Third Proportional to 36,174 and 75,120

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Solution

The third proportional to 36,174 and 75,120 is: 155,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,174 : 75,120 = 75,120 : x
  2. Step 2: Convert to fraction form
    36,174/75,120 = 75,120/x
  3. Step 3: Cross multiply
    36,174x = 75,120 × 75,120
  4. Step 4: Simplify right side
    36,174x = 5,643,014,400
  5. Step 5: Solve for x
    x = 5,643,014,400/36,174
  6. Step 6: Final answer
    x = 155,996.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.