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Finding the Third Proportional to 135,940 and 194,752

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Solution

The third proportional to 135,940 and 194,752 is: 279,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,940 : 194,752 = 194,752 : x
  2. Step 2: Convert to fraction form
    135,940/194,752 = 194,752/x
  3. Step 3: Cross multiply
    135,940x = 194,752 × 194,752
  4. Step 4: Simplify right side
    135,940x = 37,928,341,504
  5. Step 5: Solve for x
    x = 37,928,341,504/135,940
  6. Step 6: Final answer
    x = 279,007.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.