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Finding the Third Proportional to 46,085 and 68,839

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Solution

The third proportional to 46,085 and 68,839 is: 102,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,085 : 68,839 = 68,839 : x
  2. Step 2: Convert to fraction form
    46,085/68,839 = 68,839/x
  3. Step 3: Cross multiply
    46,085x = 68,839 × 68,839
  4. Step 4: Simplify right side
    46,085x = 4,738,807,921
  5. Step 5: Solve for x
    x = 4,738,807,921/46,085
  6. Step 6: Final answer
    x = 102,827.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.