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Finding the Third Proportional to 75,872 and 165,757

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Solution

The third proportional to 75,872 and 165,757 is: 362,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,872 : 165,757 = 165,757 : x
  2. Step 2: Convert to fraction form
    75,872/165,757 = 165,757/x
  3. Step 3: Cross multiply
    75,872x = 165,757 × 165,757
  4. Step 4: Simplify right side
    75,872x = 27,475,383,049
  5. Step 5: Solve for x
    x = 27,475,383,049/75,872
  6. Step 6: Final answer
    x = 362,128.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.