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Finding the Third Proportional to 41,000 and 86,896

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Solution

The third proportional to 41,000 and 86,896 is: 184,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,000 : 86,896 = 86,896 : x
  2. Step 2: Convert to fraction form
    41,000/86,896 = 86,896/x
  3. Step 3: Cross multiply
    41,000x = 86,896 × 86,896
  4. Step 4: Simplify right side
    41,000x = 7,550,914,816
  5. Step 5: Solve for x
    x = 7,550,914,816/41,000
  6. Step 6: Final answer
    x = 184,168.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.