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Finding the Third Proportional to 137,595 and 281,021

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Solution

The third proportional to 137,595 and 281,021 is: 573,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,595 : 281,021 = 281,021 : x
  2. Step 2: Convert to fraction form
    137,595/281,021 = 281,021/x
  3. Step 3: Cross multiply
    137,595x = 281,021 × 281,021
  4. Step 4: Simplify right side
    137,595x = 78,972,802,441
  5. Step 5: Solve for x
    x = 78,972,802,441/137,595
  6. Step 6: Final answer
    x = 573,951.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.