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Finding the Third Proportional to 85,009.50 and 125,163.75

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Solution

The third proportional to 85,009.50 and 125,163.75 is: 184,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,009.50 : 125,163.75 = 125,163.75 : x
  2. Step 2: Convert to fraction form
    85,009.50/125,163.75 = 125,163.75/x
  3. Step 3: Cross multiply
    85,009.50x = 125,163.75 × 125,163.75
  4. Step 4: Simplify right side
    85,009.50x = 15,665,964,314.06
  5. Step 5: Solve for x
    x = 15,665,964,314.06/85,009.50
  6. Step 6: Final answer
    x = 184,284.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.