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Finding the Third Proportional to 165,081.75 and 221,121

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Solution

The third proportional to 165,081.75 and 221,121 is: 296,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,081.75 : 221,121 = 221,121 : x
  2. Step 2: Convert to fraction form
    165,081.75/221,121 = 221,121/x
  3. Step 3: Cross multiply
    165,081.75x = 221,121 × 221,121
  4. Step 4: Simplify right side
    165,081.75x = 48,894,496,641
  5. Step 5: Solve for x
    x = 48,894,496,641/165,081.75
  6. Step 6: Final answer
    x = 296,183.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.