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Finding the Third Proportional to 81,169.88 and 110,576.81

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Solution

The third proportional to 81,169.88 and 110,576.81 is: 150,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,169.88 : 110,576.81 = 110,576.81 : x
  2. Step 2: Convert to fraction form
    81,169.88/110,576.81 = 110,576.81/x
  3. Step 3: Cross multiply
    81,169.88x = 110,576.81 × 110,576.81
  4. Step 4: Simplify right side
    81,169.88x = 12,227,231,462.66
  5. Step 5: Solve for x
    x = 12,227,231,462.66/81,169.88
  6. Step 6: Final answer
    x = 150,637.55

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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.