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Finding the Third Proportional to 117,072 and 276,048

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Solution

The third proportional to 117,072 and 276,048 is: 650,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,072 : 276,048 = 276,048 : x
  2. Step 2: Convert to fraction form
    117,072/276,048 = 276,048/x
  3. Step 3: Cross multiply
    117,072x = 276,048 × 276,048
  4. Step 4: Simplify right side
    117,072x = 76,202,498,304
  5. Step 5: Solve for x
    x = 76,202,498,304/117,072
  6. Step 6: Final answer
    x = 650,902.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.