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Finding the Third Proportional to 26,603 and 57,127

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Solution

The third proportional to 26,603 and 57,127 is: 122,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,603 : 57,127 = 57,127 : x
  2. Step 2: Convert to fraction form
    26,603/57,127 = 57,127/x
  3. Step 3: Cross multiply
    26,603x = 57,127 × 57,127
  4. Step 4: Simplify right side
    26,603x = 3,263,494,129
  5. Step 5: Solve for x
    x = 3,263,494,129/26,603
  6. Step 6: Final answer
    x = 122,673.91

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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.