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Finding the Third Proportional to 68,083 and 104,995

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Solution

The third proportional to 68,083 and 104,995 is: 161,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,083 : 104,995 = 104,995 : x
  2. Step 2: Convert to fraction form
    68,083/104,995 = 104,995/x
  3. Step 3: Cross multiply
    68,083x = 104,995 × 104,995
  4. Step 4: Simplify right side
    68,083x = 11,023,950,025
  5. Step 5: Solve for x
    x = 11,023,950,025/68,083
  6. Step 6: Final answer
    x = 161,919.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.