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Finding the Third Proportional to 86,608 and 180,019

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Solution

The third proportional to 86,608 and 180,019 is: 374,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,608 : 180,019 = 180,019 : x
  2. Step 2: Convert to fraction form
    86,608/180,019 = 180,019/x
  3. Step 3: Cross multiply
    86,608x = 180,019 × 180,019
  4. Step 4: Simplify right side
    86,608x = 32,406,840,361
  5. Step 5: Solve for x
    x = 32,406,840,361/86,608
  6. Step 6: Final answer
    x = 374,178.37

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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.