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Finding the Third Proportional to 46,504 and 99,568

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Solution

The third proportional to 46,504 and 99,568 is: 213,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,504 : 99,568 = 99,568 : x
  2. Step 2: Convert to fraction form
    46,504/99,568 = 99,568/x
  3. Step 3: Cross multiply
    46,504x = 99,568 × 99,568
  4. Step 4: Simplify right side
    46,504x = 9,913,786,624
  5. Step 5: Solve for x
    x = 9,913,786,624/46,504
  6. Step 6: Final answer
    x = 213,181.37

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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.