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Finding the Third Proportional to 138,037.50 and 194,339.25

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Solution

The third proportional to 138,037.50 and 194,339.25 is: 273,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,037.50 : 194,339.25 = 194,339.25 : x
  2. Step 2: Convert to fraction form
    138,037.50/194,339.25 = 194,339.25/x
  3. Step 3: Cross multiply
    138,037.50x = 194,339.25 × 194,339.25
  4. Step 4: Simplify right side
    138,037.50x = 37,767,744,090.56
  5. Step 5: Solve for x
    x = 37,767,744,090.56/138,037.50
  6. Step 6: Final answer
    x = 273,604.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.