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Finding the Third Proportional to 127,883.75 and 193,601

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Solution

The third proportional to 127,883.75 and 193,601 is: 293,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,883.75 : 193,601 = 193,601 : x
  2. Step 2: Convert to fraction form
    127,883.75/193,601 = 193,601/x
  3. Step 3: Cross multiply
    127,883.75x = 193,601 × 193,601
  4. Step 4: Simplify right side
    127,883.75x = 37,481,347,201
  5. Step 5: Solve for x
    x = 37,481,347,201/127,883.75
  6. Step 6: Final answer
    x = 293,089.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.