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Finding the Third Proportional to 76,759 and 165,181

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Solution

The third proportional to 76,759 and 165,181 is: 355,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,759 : 165,181 = 165,181 : x
  2. Step 2: Convert to fraction form
    76,759/165,181 = 165,181/x
  3. Step 3: Cross multiply
    76,759x = 165,181 × 165,181
  4. Step 4: Simplify right side
    76,759x = 27,284,762,761
  5. Step 5: Solve for x
    x = 27,284,762,761/76,759
  6. Step 6: Final answer
    x = 355,460.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.