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Finding the Third Proportional to 56,722 and 122,108

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Solution

The third proportional to 56,722 and 122,108 is: 262,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,722 : 122,108 = 122,108 : x
  2. Step 2: Convert to fraction form
    56,722/122,108 = 122,108/x
  3. Step 3: Cross multiply
    56,722x = 122,108 × 122,108
  4. Step 4: Simplify right side
    56,722x = 14,910,363,664
  5. Step 5: Solve for x
    x = 14,910,363,664/56,722
  6. Step 6: Final answer
    x = 262,867.38

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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.