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Finding the Third Proportional to 111,409.50 and 167,647.50

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Solution

The third proportional to 111,409.50 and 167,647.50 is: 252,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,409.50 : 167,647.50 = 167,647.50 : x
  2. Step 2: Convert to fraction form
    111,409.50/167,647.50 = 167,647.50/x
  3. Step 3: Cross multiply
    111,409.50x = 167,647.50 × 167,647.50
  4. Step 4: Simplify right side
    111,409.50x = 28,105,684,256.25
  5. Step 5: Solve for x
    x = 28,105,684,256.25/111,409.50
  6. Step 6: Final answer
    x = 252,273.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.