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Finding the Third Proportional to 133,022.25 and 180,933.75

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Solution

The third proportional to 133,022.25 and 180,933.75 is: 246,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,022.25 : 180,933.75 = 180,933.75 : x
  2. Step 2: Convert to fraction form
    133,022.25/180,933.75 = 180,933.75/x
  3. Step 3: Cross multiply
    133,022.25x = 180,933.75 × 180,933.75
  4. Step 4: Simplify right side
    133,022.25x = 32,737,021,889.06
  5. Step 5: Solve for x
    x = 32,737,021,889.06/133,022.25
  6. Step 6: Final answer
    x = 246,101.85

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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.