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Finding the Third Proportional to 45,474 and 69,192

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Solution

The third proportional to 45,474 and 69,192 is: 105,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,474 : 69,192 = 69,192 : x
  2. Step 2: Convert to fraction form
    45,474/69,192 = 69,192/x
  3. Step 3: Cross multiply
    45,474x = 69,192 × 69,192
  4. Step 4: Simplify right side
    45,474x = 4,787,532,864
  5. Step 5: Solve for x
    x = 4,787,532,864/45,474
  6. Step 6: Final answer
    x = 105,280.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.