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Finding the Third Proportional to 127,608.75 and 192,399.75

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Solution

The third proportional to 127,608.75 and 192,399.75 is: 290,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,608.75 : 192,399.75 = 192,399.75 : x
  2. Step 2: Convert to fraction form
    127,608.75/192,399.75 = 192,399.75/x
  3. Step 3: Cross multiply
    127,608.75x = 192,399.75 × 192,399.75
  4. Step 4: Simplify right side
    127,608.75x = 37,017,663,800.06
  5. Step 5: Solve for x
    x = 37,017,663,800.06/127,608.75
  6. Step 6: Final answer
    x = 290,087.19

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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.