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Finding the Third Proportional to 36,190 and 77,571

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Solution

The third proportional to 36,190 and 77,571 is: 166,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,190 : 77,571 = 77,571 : x
  2. Step 2: Convert to fraction form
    36,190/77,571 = 77,571/x
  3. Step 3: Cross multiply
    36,190x = 77,571 × 77,571
  4. Step 4: Simplify right side
    36,190x = 6,017,260,041
  5. Step 5: Solve for x
    x = 6,017,260,041/36,190
  6. Step 6: Final answer
    x = 166,268.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.