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Finding the Third Proportional to 86,019 and 180,759

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Solution

The third proportional to 86,019 and 180,759 is: 379,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,019 : 180,759 = 180,759 : x
  2. Step 2: Convert to fraction form
    86,019/180,759 = 180,759/x
  3. Step 3: Cross multiply
    86,019x = 180,759 × 180,759
  4. Step 4: Simplify right side
    86,019x = 32,673,816,081
  5. Step 5: Solve for x
    x = 32,673,816,081/86,019
  6. Step 6: Final answer
    x = 379,844.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.