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Finding the Third Proportional to 56,969 and 122,704

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Solution

The third proportional to 56,969 and 122,704 is: 264,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,969 : 122,704 = 122,704 : x
  2. Step 2: Convert to fraction form
    56,969/122,704 = 122,704/x
  3. Step 3: Cross multiply
    56,969x = 122,704 × 122,704
  4. Step 4: Simplify right side
    56,969x = 15,056,271,616
  5. Step 5: Solve for x
    x = 15,056,271,616/56,969
  6. Step 6: Final answer
    x = 264,288.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.