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Finding the Third Proportional to 85,171.50 and 179,171.25

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Solution

The third proportional to 85,171.50 and 179,171.25 is: 376,914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,171.50 : 179,171.25 = 179,171.25 : x
  2. Step 2: Convert to fraction form
    85,171.50/179,171.25 = 179,171.25/x
  3. Step 3: Cross multiply
    85,171.50x = 179,171.25 × 179,171.25
  4. Step 4: Simplify right side
    85,171.50x = 32,102,336,826.56
  5. Step 5: Solve for x
    x = 32,102,336,826.56/85,171.50
  6. Step 6: Final answer
    x = 376,914.07

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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.