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Finding the Third Proportional to 75,573 and 164,961.56

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Solution

The third proportional to 75,573 and 164,961.56 is: 360,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,573 : 164,961.56 = 164,961.56 : x
  2. Step 2: Convert to fraction form
    75,573/164,961.56 = 164,961.56/x
  3. Step 3: Cross multiply
    75,573x = 164,961.56 × 164,961.56
  4. Step 4: Simplify right side
    75,573x = 27,212,317,102.44
  5. Step 5: Solve for x
    x = 27,212,317,102.44/75,573
  6. Step 6: Final answer
    x = 360,079.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.