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Finding the Third Proportional to 36,614 and 79,546

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Solution

The third proportional to 36,614 and 79,546 is: 172,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,614 : 79,546 = 79,546 : x
  2. Step 2: Convert to fraction form
    36,614/79,546 = 79,546/x
  3. Step 3: Cross multiply
    36,614x = 79,546 × 79,546
  4. Step 4: Simplify right side
    36,614x = 6,327,566,116
  5. Step 5: Solve for x
    x = 6,327,566,116/36,614
  6. Step 6: Final answer
    x = 172,818.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.