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Finding the Third Proportional to 76,771 and 165,203

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Solution

The third proportional to 76,771 and 165,203 is: 355,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,771 : 165,203 = 165,203 : x
  2. Step 2: Convert to fraction form
    76,771/165,203 = 165,203/x
  3. Step 3: Cross multiply
    76,771x = 165,203 × 165,203
  4. Step 4: Simplify right side
    76,771x = 27,292,031,209
  5. Step 5: Solve for x
    x = 27,292,031,209/76,771
  6. Step 6: Final answer
    x = 355,499.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.