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Finding the Third Proportional to 41,164 and 88,568

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Solution

The third proportional to 41,164 and 88,568 is: 190,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,164 : 88,568 = 88,568 : x
  2. Step 2: Convert to fraction form
    41,164/88,568 = 88,568/x
  3. Step 3: Cross multiply
    41,164x = 88,568 × 88,568
  4. Step 4: Simplify right side
    41,164x = 7,844,290,624
  5. Step 5: Solve for x
    x = 7,844,290,624/41,164
  6. Step 6: Final answer
    x = 190,561.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.