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Finding the Third Proportional to 128,841.75 and 192,667.50

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Solution

The third proportional to 128,841.75 and 192,667.50 is: 288,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,841.75 : 192,667.50 = 192,667.50 : x
  2. Step 2: Convert to fraction form
    128,841.75/192,667.50 = 192,667.50/x
  3. Step 3: Cross multiply
    128,841.75x = 192,667.50 × 192,667.50
  4. Step 4: Simplify right side
    128,841.75x = 37,120,765,556.25
  5. Step 5: Solve for x
    x = 37,120,765,556.25/128,841.75
  6. Step 6: Final answer
    x = 288,111.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.