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Finding the Third Proportional to 133,660.13 and 181,576.69

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Solution

The third proportional to 133,660.13 and 181,576.69 is: 246,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,660.13 : 181,576.69 = 181,576.69 : x
  2. Step 2: Convert to fraction form
    133,660.13/181,576.69 = 181,576.69/x
  3. Step 3: Cross multiply
    133,660.13x = 181,576.69 × 181,576.69
  4. Step 4: Simplify right side
    133,660.13x = 32,970,093,443.47
  5. Step 5: Solve for x
    x = 32,970,093,443.47/133,660.13
  6. Step 6: Final answer
    x = 246,671.13

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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.