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Finding the Third Proportional to 46,782 and 102,027

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Solution

The third proportional to 46,782 and 102,027 is: 222,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,782 : 102,027 = 102,027 : x
  2. Step 2: Convert to fraction form
    46,782/102,027 = 102,027/x
  3. Step 3: Cross multiply
    46,782x = 102,027 × 102,027
  4. Step 4: Simplify right side
    46,782x = 10,409,508,729
  5. Step 5: Solve for x
    x = 10,409,508,729/46,782
  6. Step 6: Final answer
    x = 222,510.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.