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Finding the Third Proportional to 121,016 and 184,805

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Solution

The third proportional to 121,016 and 184,805 is: 282,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,016 : 184,805 = 184,805 : x
  2. Step 2: Convert to fraction form
    121,016/184,805 = 184,805/x
  3. Step 3: Cross multiply
    121,016x = 184,805 × 184,805
  4. Step 4: Simplify right side
    121,016x = 34,152,888,025
  5. Step 5: Solve for x
    x = 34,152,888,025/121,016
  6. Step 6: Final answer
    x = 282,217.95

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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.