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Finding the Third Proportional to 36,164 and 74,089

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Solution

The third proportional to 36,164 and 74,089 is: 151,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164 : 74,089 = 74,089 : x
  2. Step 2: Convert to fraction form
    36,164/74,089 = 74,089/x
  3. Step 3: Cross multiply
    36,164x = 74,089 × 74,089
  4. Step 4: Simplify right side
    36,164x = 5,489,179,921
  5. Step 5: Solve for x
    x = 5,489,179,921/36,164
  6. Step 6: Final answer
    x = 151,785.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.