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Finding the Third Proportional to 75,213 and 165,186

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Solution

The third proportional to 75,213 and 165,186 is: 362,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,213 : 165,186 = 165,186 : x
  2. Step 2: Convert to fraction form
    75,213/165,186 = 165,186/x
  3. Step 3: Cross multiply
    75,213x = 165,186 × 165,186
  4. Step 4: Simplify right side
    75,213x = 27,286,414,596
  5. Step 5: Solve for x
    x = 27,286,414,596/75,213
  6. Step 6: Final answer
    x = 362,788.54

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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.