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Finding the Third Proportional to 56,704 and 122,074

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Solution

The third proportional to 56,704 and 122,074 is: 262,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,704 : 122,074 = 122,074 : x
  2. Step 2: Convert to fraction form
    56,704/122,074 = 122,074/x
  3. Step 3: Cross multiply
    56,704x = 122,074 × 122,074
  4. Step 4: Simplify right side
    56,704x = 14,902,061,476
  5. Step 5: Solve for x
    x = 14,902,061,476/56,704
  6. Step 6: Final answer
    x = 262,804.41

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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.