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Finding the Third Proportional to 46,212 and 98,568

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Solution

The third proportional to 46,212 and 98,568 is: 210,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,212 : 98,568 = 98,568 : x
  2. Step 2: Convert to fraction form
    46,212/98,568 = 98,568/x
  3. Step 3: Cross multiply
    46,212x = 98,568 × 98,568
  4. Step 4: Simplify right side
    46,212x = 9,715,650,624
  5. Step 5: Solve for x
    x = 9,715,650,624/46,212
  6. Step 6: Final answer
    x = 210,240.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.