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Finding the Third Proportional to 75,591 and 164,997

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Solution

The third proportional to 75,591 and 164,997 is: 360,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,591 : 164,997 = 164,997 : x
  2. Step 2: Convert to fraction form
    75,591/164,997 = 164,997/x
  3. Step 3: Cross multiply
    75,591x = 164,997 × 164,997
  4. Step 4: Simplify right side
    75,591x = 27,224,010,009
  5. Step 5: Solve for x
    x = 27,224,010,009/75,591
  6. Step 6: Final answer
    x = 360,148.83

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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.