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Finding the Third Proportional to 76,661 and 164,975

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Solution

The third proportional to 76,661 and 164,975 is: 355,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,661 : 164,975 = 164,975 : x
  2. Step 2: Convert to fraction form
    76,661/164,975 = 164,975/x
  3. Step 3: Cross multiply
    76,661x = 164,975 × 164,975
  4. Step 4: Simplify right side
    76,661x = 27,216,750,625
  5. Step 5: Solve for x
    x = 27,216,750,625/76,661
  6. Step 6: Final answer
    x = 355,027.34

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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.