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Finding the Third Proportional to 46,940 and 104,246

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Solution

The third proportional to 46,940 and 104,246 is: 231,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,940 : 104,246 = 104,246 : x
  2. Step 2: Convert to fraction form
    46,940/104,246 = 104,246/x
  3. Step 3: Cross multiply
    46,940x = 104,246 × 104,246
  4. Step 4: Simplify right side
    46,940x = 10,867,228,516
  5. Step 5: Solve for x
    x = 10,867,228,516/46,940
  6. Step 6: Final answer
    x = 231,513.18

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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.