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Finding the Third Proportional to 36,266 and 79,174

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Solution

The third proportional to 36,266 and 79,174 is: 172,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,266 : 79,174 = 79,174 : x
  2. Step 2: Convert to fraction form
    36,266/79,174 = 79,174/x
  3. Step 3: Cross multiply
    36,266x = 79,174 × 79,174
  4. Step 4: Simplify right side
    36,266x = 6,268,522,276
  5. Step 5: Solve for x
    x = 6,268,522,276/36,266
  6. Step 6: Final answer
    x = 172,848.46

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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.