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Finding the Third Proportional to 81,059 and 122,705

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Solution

The third proportional to 81,059 and 122,705 is: 185,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,059 : 122,705 = 122,705 : x
  2. Step 2: Convert to fraction form
    81,059/122,705 = 122,705/x
  3. Step 3: Cross multiply
    81,059x = 122,705 × 122,705
  4. Step 4: Simplify right side
    81,059x = 15,056,517,025
  5. Step 5: Solve for x
    x = 15,056,517,025/81,059
  6. Step 6: Final answer
    x = 185,747.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.