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Finding the Third Proportional to 135,715.50 and 194,825.25

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Solution

The third proportional to 135,715.50 and 194,825.25 is: 279,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,715.50 : 194,825.25 = 194,825.25 : x
  2. Step 2: Convert to fraction form
    135,715.50/194,825.25 = 194,825.25/x
  3. Step 3: Cross multiply
    135,715.50x = 194,825.25 × 194,825.25
  4. Step 4: Simplify right side
    135,715.50x = 37,956,878,037.56
  5. Step 5: Solve for x
    x = 37,956,878,037.56/135,715.50
  6. Step 6: Final answer
    x = 279,679.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.