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Finding the Third Proportional to 120,282.25 and 168,161.75

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Solution

The third proportional to 120,282.25 and 168,161.75 is: 235,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,282.25 : 168,161.75 = 168,161.75 : x
  2. Step 2: Convert to fraction form
    120,282.25/168,161.75 = 168,161.75/x
  3. Step 3: Cross multiply
    120,282.25x = 168,161.75 × 168,161.75
  4. Step 4: Simplify right side
    120,282.25x = 28,278,374,163.06
  5. Step 5: Solve for x
    x = 28,278,374,163.06/120,282.25
  6. Step 6: Final answer
    x = 235,100.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.