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Finding the Third Proportional to 46,934 and 104,236

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Solution

The third proportional to 46,934 and 104,236 is: 231,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,934 : 104,236 = 104,236 : x
  2. Step 2: Convert to fraction form
    46,934/104,236 = 104,236/x
  3. Step 3: Cross multiply
    46,934x = 104,236 × 104,236
  4. Step 4: Simplify right side
    46,934x = 10,865,143,696
  5. Step 5: Solve for x
    x = 10,865,143,696/46,934
  6. Step 6: Final answer
    x = 231,498.35

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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.