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Finding the Third Proportional to 46,048 and 100,736

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Solution

The third proportional to 46,048 and 100,736 is: 220,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,048 : 100,736 = 100,736 : x
  2. Step 2: Convert to fraction form
    46,048/100,736 = 100,736/x
  3. Step 3: Cross multiply
    46,048x = 100,736 × 100,736
  4. Step 4: Simplify right side
    46,048x = 10,147,741,696
  5. Step 5: Solve for x
    x = 10,147,741,696/46,048
  6. Step 6: Final answer
    x = 220,373.13

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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.