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Finding the Third Proportional to 102,039.75 and 153,162

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Solution

The third proportional to 102,039.75 and 153,162 is: 229,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039.75 : 153,162 = 153,162 : x
  2. Step 2: Convert to fraction form
    102,039.75/153,162 = 153,162/x
  3. Step 3: Cross multiply
    102,039.75x = 153,162 × 153,162
  4. Step 4: Simplify right side
    102,039.75x = 23,458,598,244
  5. Step 5: Solve for x
    x = 23,458,598,244/102,039.75
  6. Step 6: Final answer
    x = 229,896.67

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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.