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Finding the Third Proportional to 113,467.50 and 150,516.56

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Solution

The third proportional to 113,467.50 and 150,516.56 is: 199,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,467.50 : 150,516.56 = 150,516.56 : x
  2. Step 2: Convert to fraction form
    113,467.50/150,516.56 = 150,516.56/x
  3. Step 3: Cross multiply
    113,467.50x = 150,516.56 × 150,516.56
  4. Step 4: Simplify right side
    113,467.50x = 22,655,235,586.82
  5. Step 5: Solve for x
    x = 22,655,235,586.82/113,467.50
  6. Step 6: Final answer
    x = 199,662.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.