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Finding the Third Proportional to 36,728 and 79,168

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Solution

The third proportional to 36,728 and 79,168 is: 170,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,728 : 79,168 = 79,168 : x
  2. Step 2: Convert to fraction form
    36,728/79,168 = 79,168/x
  3. Step 3: Cross multiply
    36,728x = 79,168 × 79,168
  4. Step 4: Simplify right side
    36,728x = 6,267,572,224
  5. Step 5: Solve for x
    x = 6,267,572,224/36,728
  6. Step 6: Final answer
    x = 170,648.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.