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Finding the Third Proportional to 75,195.56 and 167,201.44

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Solution

The third proportional to 75,195.56 and 167,201.44 is: 371,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,195.56 : 167,201.44 = 167,201.44 : x
  2. Step 2: Convert to fraction form
    75,195.56/167,201.44 = 167,201.44/x
  3. Step 3: Cross multiply
    75,195.56x = 167,201.44 × 167,201.44
  4. Step 4: Simplify right side
    75,195.56x = 27,956,320,702.07
  5. Step 5: Solve for x
    x = 27,956,320,702.07/75,195.56
  6. Step 6: Final answer
    x = 371,781.52

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.