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Finding the Third Proportional to 28,193 and 61,354

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Solution

The third proportional to 28,193 and 61,354 is: 133,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,193 : 61,354 = 61,354 : x
  2. Step 2: Convert to fraction form
    28,193/61,354 = 61,354/x
  3. Step 3: Cross multiply
    28,193x = 61,354 × 61,354
  4. Step 4: Simplify right side
    28,193x = 3,764,313,316
  5. Step 5: Solve for x
    x = 3,764,313,316/28,193
  6. Step 6: Final answer
    x = 133,519.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.