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Finding the Third Proportional to 46,596 and 100,568

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Solution

The third proportional to 46,596 and 100,568 is: 217,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,596 : 100,568 = 100,568 : x
  2. Step 2: Convert to fraction form
    46,596/100,568 = 100,568/x
  3. Step 3: Cross multiply
    46,596x = 100,568 × 100,568
  4. Step 4: Simplify right side
    46,596x = 10,113,922,624
  5. Step 5: Solve for x
    x = 10,113,922,624/46,596
  6. Step 6: Final answer
    x = 217,055.60

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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.