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Finding the Third Proportional to 36,556 and 79,723

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Solution

The third proportional to 36,556 and 79,723 is: 173,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,556 : 79,723 = 79,723 : x
  2. Step 2: Convert to fraction form
    36,556/79,723 = 79,723/x
  3. Step 3: Cross multiply
    36,556x = 79,723 × 79,723
  4. Step 4: Simplify right side
    36,556x = 6,355,756,729
  5. Step 5: Solve for x
    x = 6,355,756,729/36,556
  6. Step 6: Final answer
    x = 173,863.57

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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.