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Finding the Third Proportional to 120,132 and 184,268.25

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Solution

The third proportional to 120,132 and 184,268.25 is: 282,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,132 : 184,268.25 = 184,268.25 : x
  2. Step 2: Convert to fraction form
    120,132/184,268.25 = 184,268.25/x
  3. Step 3: Cross multiply
    120,132x = 184,268.25 × 184,268.25
  4. Step 4: Simplify right side
    120,132x = 33,954,787,958.06
  5. Step 5: Solve for x
    x = 33,954,787,958.06/120,132
  6. Step 6: Final answer
    x = 282,645.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.