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Finding the Third Proportional to 36,404 and 79,000

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Solution

The third proportional to 36,404 and 79,000 is: 171,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,404 : 79,000 = 79,000 : x
  2. Step 2: Convert to fraction form
    36,404/79,000 = 79,000/x
  3. Step 3: Cross multiply
    36,404x = 79,000 × 79,000
  4. Step 4: Simplify right side
    36,404x = 6,241,000,000
  5. Step 5: Solve for x
    x = 6,241,000,000/36,404
  6. Step 6: Final answer
    x = 171,437.20

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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.