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Finding the Third Proportional to 94,296 and 128,138

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Solution

The third proportional to 94,296 and 128,138 is: 174,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,296 : 128,138 = 128,138 : x
  2. Step 2: Convert to fraction form
    94,296/128,138 = 128,138/x
  3. Step 3: Cross multiply
    94,296x = 128,138 × 128,138
  4. Step 4: Simplify right side
    94,296x = 16,419,347,044
  5. Step 5: Solve for x
    x = 16,419,347,044/94,296
  6. Step 6: Final answer
    x = 174,125.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.