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Finding the Third Proportional to 46,733 and 100,027

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Solution

The third proportional to 46,733 and 100,027 is: 214,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,733 : 100,027 = 100,027 : x
  2. Step 2: Convert to fraction form
    46,733/100,027 = 100,027/x
  3. Step 3: Cross multiply
    46,733x = 100,027 × 100,027
  4. Step 4: Simplify right side
    46,733x = 10,005,400,729
  5. Step 5: Solve for x
    x = 10,005,400,729/46,733
  6. Step 6: Final answer
    x = 214,097.12

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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.