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Finding the Third Proportional to 69,163.50 and 105,753

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Solution

The third proportional to 69,163.50 and 105,753 is: 161,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,163.50 : 105,753 = 105,753 : x
  2. Step 2: Convert to fraction form
    69,163.50/105,753 = 105,753/x
  3. Step 3: Cross multiply
    69,163.50x = 105,753 × 105,753
  4. Step 4: Simplify right side
    69,163.50x = 11,183,697,009
  5. Step 5: Solve for x
    x = 11,183,697,009/69,163.50
  6. Step 6: Final answer
    x = 161,699.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.