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Finding the Third Proportional to 111,039 and 169,321.50

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Solution

The third proportional to 111,039 and 169,321.50 is: 258,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,039 : 169,321.50 = 169,321.50 : x
  2. Step 2: Convert to fraction form
    111,039/169,321.50 = 169,321.50/x
  3. Step 3: Cross multiply
    111,039x = 169,321.50 × 169,321.50
  4. Step 4: Simplify right side
    111,039x = 28,669,770,362.25
  5. Step 5: Solve for x
    x = 28,669,770,362.25/111,039
  6. Step 6: Final answer
    x = 258,195.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.