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Finding the Third Proportional to 75,591 and 165,546

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Solution

The third proportional to 75,591 and 165,546 is: 362,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,591 : 165,546 = 165,546 : x
  2. Step 2: Convert to fraction form
    75,591/165,546 = 165,546/x
  3. Step 3: Cross multiply
    75,591x = 165,546 × 165,546
  4. Step 4: Simplify right side
    75,591x = 27,405,478,116
  5. Step 5: Solve for x
    x = 27,405,478,116/75,591
  6. Step 6: Final answer
    x = 362,549.48

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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.