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Finding the Third Proportional to 75,194 and 165,164

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Solution

The third proportional to 75,194 and 165,164 is: 362,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,194 : 165,164 = 165,164 : x
  2. Step 2: Convert to fraction form
    75,194/165,164 = 165,164/x
  3. Step 3: Cross multiply
    75,194x = 165,164 × 165,164
  4. Step 4: Simplify right side
    75,194x = 27,279,146,896
  5. Step 5: Solve for x
    x = 27,279,146,896/75,194
  6. Step 6: Final answer
    x = 362,783.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.