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Finding the Third Proportional to 81,047 and 122,687

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Solution

The third proportional to 81,047 and 122,687 is: 185,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,047 : 122,687 = 122,687 : x
  2. Step 2: Convert to fraction form
    81,047/122,687 = 122,687/x
  3. Step 3: Cross multiply
    81,047x = 122,687 × 122,687
  4. Step 4: Simplify right side
    81,047x = 15,052,099,969
  5. Step 5: Solve for x
    x = 15,052,099,969/81,047
  6. Step 6: Final answer
    x = 185,720.63

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