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Finding the Third Proportional to 86,923 and 180,508

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Solution

The third proportional to 86,923 and 180,508 is: 374,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,923 : 180,508 = 180,508 : x
  2. Step 2: Convert to fraction form
    86,923/180,508 = 180,508/x
  3. Step 3: Cross multiply
    86,923x = 180,508 × 180,508
  4. Step 4: Simplify right side
    86,923x = 32,583,138,064
  5. Step 5: Solve for x
    x = 32,583,138,064/86,923
  6. Step 6: Final answer
    x = 374,850.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.