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Finding the Third Proportional to 43,161 and 94,169

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Solution

The third proportional to 43,161 and 94,169 is: 205,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,161 : 94,169 = 94,169 : x
  2. Step 2: Convert to fraction form
    43,161/94,169 = 94,169/x
  3. Step 3: Cross multiply
    43,161x = 94,169 × 94,169
  4. Step 4: Simplify right side
    43,161x = 8,867,800,561
  5. Step 5: Solve for x
    x = 8,867,800,561/43,161
  6. Step 6: Final answer
    x = 205,458.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.