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Finding the Third Proportional to 45,144 and 93,474

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Solution

The third proportional to 45,144 and 93,474 is: 193,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,144 : 93,474 = 93,474 : x
  2. Step 2: Convert to fraction form
    45,144/93,474 = 93,474/x
  3. Step 3: Cross multiply
    45,144x = 93,474 × 93,474
  4. Step 4: Simplify right side
    45,144x = 8,737,388,676
  5. Step 5: Solve for x
    x = 8,737,388,676/45,144
  6. Step 6: Final answer
    x = 193,544.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.