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Finding the Third Proportional to 128,077.88 and 191,076.75

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Solution

The third proportional to 128,077.88 and 191,076.75 is: 285,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,077.88 : 191,076.75 = 191,076.75 : x
  2. Step 2: Convert to fraction form
    128,077.88/191,076.75 = 191,076.75/x
  3. Step 3: Cross multiply
    128,077.88x = 191,076.75 × 191,076.75
  4. Step 4: Simplify right side
    128,077.88x = 36,510,324,390.56
  5. Step 5: Solve for x
    x = 36,510,324,390.56/128,077.88
  6. Step 6: Final answer
    x = 285,063.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.