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Finding the Third Proportional to 56,419 and 122,679

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Solution

The third proportional to 56,419 and 122,679 is: 266,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,419 : 122,679 = 122,679 : x
  2. Step 2: Convert to fraction form
    56,419/122,679 = 122,679/x
  3. Step 3: Cross multiply
    56,419x = 122,679 × 122,679
  4. Step 4: Simplify right side
    56,419x = 15,050,137,041
  5. Step 5: Solve for x
    x = 15,050,137,041/56,419
  6. Step 6: Final answer
    x = 266,756.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.