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Finding the Third Proportional to 75,601 and 165,017

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Solution

The third proportional to 75,601 and 165,017 is: 360,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,601 : 165,017 = 165,017 : x
  2. Step 2: Convert to fraction form
    75,601/165,017 = 165,017/x
  3. Step 3: Cross multiply
    75,601x = 165,017 × 165,017
  4. Step 4: Simplify right side
    75,601x = 27,230,610,289
  5. Step 5: Solve for x
    x = 27,230,610,289/75,601
  6. Step 6: Final answer
    x = 360,188.49

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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.