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Finding the Third Proportional to 69,889.50 and 150,903

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Solution

The third proportional to 69,889.50 and 150,903 is: 325,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,889.50 : 150,903 = 150,903 : x
  2. Step 2: Convert to fraction form
    69,889.50/150,903 = 150,903/x
  3. Step 3: Cross multiply
    69,889.50x = 150,903 × 150,903
  4. Step 4: Simplify right side
    69,889.50x = 22,771,715,409
  5. Step 5: Solve for x
    x = 22,771,715,409/69,889.50
  6. Step 6: Final answer
    x = 325,824.56

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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.