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Finding the Third Proportional to 36,526 and 79,306

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Solution

The third proportional to 36,526 and 79,306 is: 172,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,526 : 79,306 = 79,306 : x
  2. Step 2: Convert to fraction form
    36,526/79,306 = 79,306/x
  3. Step 3: Cross multiply
    36,526x = 79,306 × 79,306
  4. Step 4: Simplify right side
    36,526x = 6,289,441,636
  5. Step 5: Solve for x
    x = 6,289,441,636/36,526
  6. Step 6: Final answer
    x = 172,190.81

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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.