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Finding the Third Proportional to 86,040.50 and 184,532.50

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Solution

The third proportional to 86,040.50 and 184,532.50 is: 395,769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,040.50 : 184,532.50 = 184,532.50 : x
  2. Step 2: Convert to fraction form
    86,040.50/184,532.50 = 184,532.50/x
  3. Step 3: Cross multiply
    86,040.50x = 184,532.50 × 184,532.50
  4. Step 4: Simplify right side
    86,040.50x = 34,052,243,556.25
  5. Step 5: Solve for x
    x = 34,052,243,556.25/86,040.50
  6. Step 6: Final answer
    x = 395,769.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.