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Finding the Third Proportional to 75,024 and 165,266

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Solution

The third proportional to 75,024 and 165,266 is: 364,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,024 : 165,266 = 165,266 : x
  2. Step 2: Convert to fraction form
    75,024/165,266 = 165,266/x
  3. Step 3: Cross multiply
    75,024x = 165,266 × 165,266
  4. Step 4: Simplify right side
    75,024x = 27,312,850,756
  5. Step 5: Solve for x
    x = 27,312,850,756/75,024
  6. Step 6: Final answer
    x = 364,054.85

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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.