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Finding the Third Proportional to 36,334 and 77,845

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Solution

The third proportional to 36,334 and 77,845 is: 166,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,334 : 77,845 = 77,845 : x
  2. Step 2: Convert to fraction form
    36,334/77,845 = 77,845/x
  3. Step 3: Cross multiply
    36,334x = 77,845 × 77,845
  4. Step 4: Simplify right side
    36,334x = 6,059,844,025
  5. Step 5: Solve for x
    x = 6,059,844,025/36,334
  6. Step 6: Final answer
    x = 166,781.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.