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Finding the Third Proportional to 79,268 and 165,097

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Solution

The third proportional to 79,268 and 165,097 is: 343,859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,268 : 165,097 = 165,097 : x
  2. Step 2: Convert to fraction form
    79,268/165,097 = 165,097/x
  3. Step 3: Cross multiply
    79,268x = 165,097 × 165,097
  4. Step 4: Simplify right side
    79,268x = 27,257,019,409
  5. Step 5: Solve for x
    x = 27,257,019,409/79,268
  6. Step 6: Final answer
    x = 343,859.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.