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Finding the Third Proportional to 26,144 and 57,188

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Solution

The third proportional to 26,144 and 57,188 is: 125,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,144 : 57,188 = 57,188 : x
  2. Step 2: Convert to fraction form
    26,144/57,188 = 57,188/x
  3. Step 3: Cross multiply
    26,144x = 57,188 × 57,188
  4. Step 4: Simplify right side
    26,144x = 3,270,467,344
  5. Step 5: Solve for x
    x = 3,270,467,344/26,144
  6. Step 6: Final answer
    x = 125,094.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.