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Finding the Third Proportional to 51,772 and 110,922

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Solution

The third proportional to 51,772 and 110,922 is: 237,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772 : 110,922 = 110,922 : x
  2. Step 2: Convert to fraction form
    51,772/110,922 = 110,922/x
  3. Step 3: Cross multiply
    51,772x = 110,922 × 110,922
  4. Step 4: Simplify right side
    51,772x = 12,303,690,084
  5. Step 5: Solve for x
    x = 12,303,690,084/51,772
  6. Step 6: Final answer
    x = 237,651.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.