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Finding the Third Proportional to 46,959.75 and 104,414.06

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Solution

The third proportional to 46,959.75 and 104,414.06 is: 232,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,959.75 : 104,414.06 = 104,414.06 : x
  2. Step 2: Convert to fraction form
    46,959.75/104,414.06 = 104,414.06/x
  3. Step 3: Cross multiply
    46,959.75x = 104,414.06 × 104,414.06
  4. Step 4: Simplify right side
    46,959.75x = 10,902,296,447.75
  5. Step 5: Solve for x
    x = 10,902,296,447.75/46,959.75
  6. Step 6: Final answer
    x = 232,162.57

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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.