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Finding the Third Proportional to 85,136.25 and 179,094

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Solution

The third proportional to 85,136.25 and 179,094 is: 376,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,136.25 : 179,094 = 179,094 : x
  2. Step 2: Convert to fraction form
    85,136.25/179,094 = 179,094/x
  3. Step 3: Cross multiply
    85,136.25x = 179,094 × 179,094
  4. Step 4: Simplify right side
    85,136.25x = 32,074,660,836
  5. Step 5: Solve for x
    x = 32,074,660,836/85,136.25
  6. Step 6: Final answer
    x = 376,745.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.