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Finding the Third Proportional to 128,576 and 192,738

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Solution

The third proportional to 128,576 and 192,738 is: 288,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,576 : 192,738 = 192,738 : x
  2. Step 2: Convert to fraction form
    128,576/192,738 = 192,738/x
  3. Step 3: Cross multiply
    128,576x = 192,738 × 192,738
  4. Step 4: Simplify right side
    128,576x = 37,147,936,644
  5. Step 5: Solve for x
    x = 37,147,936,644/128,576
  6. Step 6: Final answer
    x = 288,918.12

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Why These Related Problems?

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