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Finding the Third Proportional to 36,418 and 74,176

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Solution

The third proportional to 36,418 and 74,176 is: 151,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,418 : 74,176 = 74,176 : x
  2. Step 2: Convert to fraction form
    36,418/74,176 = 74,176/x
  3. Step 3: Cross multiply
    36,418x = 74,176 × 74,176
  4. Step 4: Simplify right side
    36,418x = 5,502,078,976
  5. Step 5: Solve for x
    x = 5,502,078,976/36,418
  6. Step 6: Final answer
    x = 151,081.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.