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Finding the Third Proportional to 49,539 and 106,818

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Solution

The third proportional to 49,539 and 106,818 is: 230,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,539 : 106,818 = 106,818 : x
  2. Step 2: Convert to fraction form
    49,539/106,818 = 106,818/x
  3. Step 3: Cross multiply
    49,539x = 106,818 × 106,818
  4. Step 4: Simplify right side
    49,539x = 11,410,085,124
  5. Step 5: Solve for x
    x = 11,410,085,124/49,539
  6. Step 6: Final answer
    x = 230,325.30

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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.