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Finding the Third Proportional to 56,967 and 122,699

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Solution

The third proportional to 56,967 and 122,699 is: 264,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,967 : 122,699 = 122,699 : x
  2. Step 2: Convert to fraction form
    56,967/122,699 = 122,699/x
  3. Step 3: Cross multiply
    56,967x = 122,699 × 122,699
  4. Step 4: Simplify right side
    56,967x = 15,055,044,601
  5. Step 5: Solve for x
    x = 15,055,044,601/56,967
  6. Step 6: Final answer
    x = 264,276.59

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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.