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Finding the Third Proportional to 36,603 and 79,920

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Solution

The third proportional to 36,603 and 79,920 is: 174,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,603 : 79,920 = 79,920 : x
  2. Step 2: Convert to fraction form
    36,603/79,920 = 79,920/x
  3. Step 3: Cross multiply
    36,603x = 79,920 × 79,920
  4. Step 4: Simplify right side
    36,603x = 6,387,206,400
  5. Step 5: Solve for x
    x = 6,387,206,400/36,603
  6. Step 6: Final answer
    x = 174,499.53

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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.