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Finding the Third Proportional to 56,950 and 122,663

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Solution

The third proportional to 56,950 and 122,663 is: 264,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,950 : 122,663 = 122,663 : x
  2. Step 2: Convert to fraction form
    56,950/122,663 = 122,663/x
  3. Step 3: Cross multiply
    56,950x = 122,663 × 122,663
  4. Step 4: Simplify right side
    56,950x = 15,046,211,569
  5. Step 5: Solve for x
    x = 15,046,211,569/56,950
  6. Step 6: Final answer
    x = 264,200.38

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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.