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Finding the Third Proportional to 120,726.56 and 192,171.94

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Solution

The third proportional to 120,726.56 and 192,171.94 is: 305,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,726.56 : 192,171.94 = 192,171.94 : x
  2. Step 2: Convert to fraction form
    120,726.56/192,171.94 = 192,171.94/x
  3. Step 3: Cross multiply
    120,726.56x = 192,171.94 × 192,171.94
  4. Step 4: Simplify right side
    120,726.56x = 36,930,053,562.50
  5. Step 5: Solve for x
    x = 36,930,053,562.50/120,726.56
  6. Step 6: Final answer
    x = 305,898.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.