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Finding the Third Proportional to 36,074 and 79,924

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Solution

The third proportional to 36,074 and 79,924 is: 177,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,074 : 79,924 = 79,924 : x
  2. Step 2: Convert to fraction form
    36,074/79,924 = 79,924/x
  3. Step 3: Cross multiply
    36,074x = 79,924 × 79,924
  4. Step 4: Simplify right side
    36,074x = 6,387,845,776
  5. Step 5: Solve for x
    x = 6,387,845,776/36,074
  6. Step 6: Final answer
    x = 177,076.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.