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Finding the Third Proportional to 114,072 and 274,812

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Solution

The third proportional to 114,072 and 274,812 is: 662,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,072 : 274,812 = 274,812 : x
  2. Step 2: Convert to fraction form
    114,072/274,812 = 274,812/x
  3. Step 3: Cross multiply
    114,072x = 274,812 × 274,812
  4. Step 4: Simplify right side
    114,072x = 75,521,635,344
  5. Step 5: Solve for x
    x = 75,521,635,344/114,072
  6. Step 6: Final answer
    x = 662,052.35

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.