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Finding the Third Proportional to 75,171 and 165,222

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Solution

The third proportional to 75,171 and 165,222 is: 363,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,171 : 165,222 = 165,222 : x
  2. Step 2: Convert to fraction form
    75,171/165,222 = 165,222/x
  3. Step 3: Cross multiply
    75,171x = 165,222 × 165,222
  4. Step 4: Simplify right side
    75,171x = 27,298,309,284
  5. Step 5: Solve for x
    x = 27,298,309,284/75,171
  6. Step 6: Final answer
    x = 363,149.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.