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Finding the Third Proportional to 51,883 and 112,027

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Solution

The third proportional to 51,883 and 112,027 is: 241,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883 : 112,027 = 112,027 : x
  2. Step 2: Convert to fraction form
    51,883/112,027 = 112,027/x
  3. Step 3: Cross multiply
    51,883x = 112,027 × 112,027
  4. Step 4: Simplify right side
    51,883x = 12,550,048,729
  5. Step 5: Solve for x
    x = 12,550,048,729/51,883
  6. Step 6: Final answer
    x = 241,891.35

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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.