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Finding the Third Proportional to 128,844 and 192,672

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Solution

The third proportional to 128,844 and 192,672 is: 288,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,844 : 192,672 = 192,672 : x
  2. Step 2: Convert to fraction form
    128,844/192,672 = 192,672/x
  3. Step 3: Cross multiply
    128,844x = 192,672 × 192,672
  4. Step 4: Simplify right side
    128,844x = 37,122,499,584
  5. Step 5: Solve for x
    x = 37,122,499,584/128,844
  6. Step 6: Final answer
    x = 288,119.74

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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.