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Finding the Third Proportional to 36,074 and 77,524

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Solution

The third proportional to 36,074 and 77,524 is: 166,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,074 : 77,524 = 77,524 : x
  2. Step 2: Convert to fraction form
    36,074/77,524 = 77,524/x
  3. Step 3: Cross multiply
    36,074x = 77,524 × 77,524
  4. Step 4: Simplify right side
    36,074x = 6,009,970,576
  5. Step 5: Solve for x
    x = 6,009,970,576/36,074
  6. Step 6: Final answer
    x = 166,601.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.