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Finding the Third Proportional to 69,847.50 and 150,855

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Solution

The third proportional to 69,847.50 and 150,855 is: 325,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,847.50 : 150,855 = 150,855 : x
  2. Step 2: Convert to fraction form
    69,847.50/150,855 = 150,855/x
  3. Step 3: Cross multiply
    69,847.50x = 150,855 × 150,855
  4. Step 4: Simplify right side
    69,847.50x = 22,757,231,025
  5. Step 5: Solve for x
    x = 22,757,231,025/69,847.50
  6. Step 6: Final answer
    x = 325,813.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.