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Finding the Third Proportional to 46,568 and 103,448

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Solution

The third proportional to 46,568 and 103,448 is: 229,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,568 : 103,448 = 103,448 : x
  2. Step 2: Convert to fraction form
    46,568/103,448 = 103,448/x
  3. Step 3: Cross multiply
    46,568x = 103,448 × 103,448
  4. Step 4: Simplify right side
    46,568x = 10,701,488,704
  5. Step 5: Solve for x
    x = 10,701,488,704/46,568
  6. Step 6: Final answer
    x = 229,803.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.