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Finding the Third Proportional to 51,153 and 110,622

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Solution

The third proportional to 51,153 and 110,622 is: 239,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,153 : 110,622 = 110,622 : x
  2. Step 2: Convert to fraction form
    51,153/110,622 = 110,622/x
  3. Step 3: Cross multiply
    51,153x = 110,622 × 110,622
  4. Step 4: Simplify right side
    51,153x = 12,237,226,884
  5. Step 5: Solve for x
    x = 12,237,226,884/51,153
  6. Step 6: Final answer
    x = 239,227.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.