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Finding the Third Proportional to 56,589 and 122,913

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Solution

The third proportional to 56,589 and 122,913 is: 266,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,589 : 122,913 = 122,913 : x
  2. Step 2: Convert to fraction form
    56,589/122,913 = 122,913/x
  3. Step 3: Cross multiply
    56,589x = 122,913 × 122,913
  4. Step 4: Simplify right side
    56,589x = 15,107,605,569
  5. Step 5: Solve for x
    x = 15,107,605,569/56,589
  6. Step 6: Final answer
    x = 266,970.71

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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.