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Finding the Third Proportional to 26,456 and 55,099

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Solution

The third proportional to 26,456 and 55,099 is: 114,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,456 : 55,099 = 55,099 : x
  2. Step 2: Convert to fraction form
    26,456/55,099 = 55,099/x
  3. Step 3: Cross multiply
    26,456x = 55,099 × 55,099
  4. Step 4: Simplify right side
    26,456x = 3,035,899,801
  5. Step 5: Solve for x
    x = 3,035,899,801/26,456
  6. Step 6: Final answer
    x = 114,752.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.