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Finding the Third Proportional to 75,601 and 165,566

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Solution

The third proportional to 75,601 and 165,566 is: 362,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,601 : 165,566 = 165,566 : x
  2. Step 2: Convert to fraction form
    75,601/165,566 = 165,566/x
  3. Step 3: Cross multiply
    75,601x = 165,566 × 165,566
  4. Step 4: Simplify right side
    75,601x = 27,412,100,356
  5. Step 5: Solve for x
    x = 27,412,100,356/75,601
  6. Step 6: Final answer
    x = 362,589.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.