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Finding the Third Proportional to 46,954 and 102,804

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Solution

The third proportional to 46,954 and 102,804 is: 225,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,954 : 102,804 = 102,804 : x
  2. Step 2: Convert to fraction form
    46,954/102,804 = 102,804/x
  3. Step 3: Cross multiply
    46,954x = 102,804 × 102,804
  4. Step 4: Simplify right side
    46,954x = 10,568,662,416
  5. Step 5: Solve for x
    x = 10,568,662,416/46,954
  6. Step 6: Final answer
    x = 225,085.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.