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Finding the Third Proportional to 65,845.50 and 144,819

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Solution

The third proportional to 65,845.50 and 144,819 is: 318,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,845.50 : 144,819 = 144,819 : x
  2. Step 2: Convert to fraction form
    65,845.50/144,819 = 144,819/x
  3. Step 3: Cross multiply
    65,845.50x = 144,819 × 144,819
  4. Step 4: Simplify right side
    65,845.50x = 20,972,542,761
  5. Step 5: Solve for x
    x = 20,972,542,761/65,845.50
  6. Step 6: Final answer
    x = 318,511.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.