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Finding the Third Proportional to 135,148.50 and 194,676.75

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Solution

The third proportional to 135,148.50 and 194,676.75 is: 280,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,148.50 : 194,676.75 = 194,676.75 : x
  2. Step 2: Convert to fraction form
    135,148.50/194,676.75 = 194,676.75/x
  3. Step 3: Cross multiply
    135,148.50x = 194,676.75 × 194,676.75
  4. Step 4: Simplify right side
    135,148.50x = 37,899,036,990.56
  5. Step 5: Solve for x
    x = 37,899,036,990.56/135,148.50
  6. Step 6: Final answer
    x = 280,425.14

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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.