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Finding the Third Proportional to 81,745.88 and 110,954.81

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Solution

The third proportional to 81,745.88 and 110,954.81 is: 150,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,745.88 : 110,954.81 = 110,954.81 : x
  2. Step 2: Convert to fraction form
    81,745.88/110,954.81 = 110,954.81/x
  3. Step 3: Cross multiply
    81,745.88x = 110,954.81 × 110,954.81
  4. Step 4: Simplify right side
    81,745.88x = 12,310,970,416.91
  5. Step 5: Solve for x
    x = 12,310,970,416.91/81,745.88
  6. Step 6: Final answer
    x = 150,600.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.