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Finding the Third Proportional to 51,320 and 106,722

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Solution

The third proportional to 51,320 and 106,722 is: 221,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,320 : 106,722 = 106,722 : x
  2. Step 2: Convert to fraction form
    51,320/106,722 = 106,722/x
  3. Step 3: Cross multiply
    51,320x = 106,722 × 106,722
  4. Step 4: Simplify right side
    51,320x = 11,389,585,284
  5. Step 5: Solve for x
    x = 11,389,585,284/51,320
  6. Step 6: Final answer
    x = 221,932.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.