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Finding the Third Proportional to 36,165 and 75,060

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Solution

The third proportional to 36,165 and 75,060 is: 155,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,165 : 75,060 = 75,060 : x
  2. Step 2: Convert to fraction form
    36,165/75,060 = 75,060/x
  3. Step 3: Cross multiply
    36,165x = 75,060 × 75,060
  4. Step 4: Simplify right side
    36,165x = 5,634,003,600
  5. Step 5: Solve for x
    x = 5,634,003,600/36,165
  6. Step 6: Final answer
    x = 155,786.08

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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.