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Finding the Third Proportional to 81,056 and 122,704

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Solution

The third proportional to 81,056 and 122,704 is: 185,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,056 : 122,704 = 122,704 : x
  2. Step 2: Convert to fraction form
    81,056/122,704 = 122,704/x
  3. Step 3: Cross multiply
    81,056x = 122,704 × 122,704
  4. Step 4: Simplify right side
    81,056x = 15,056,271,616
  5. Step 5: Solve for x
    x = 15,056,271,616/81,056
  6. Step 6: Final answer
    x = 185,751.48

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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.