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Finding the Third Proportional to 133,782.89 and 183,451.71

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Solution

The third proportional to 133,782.89 and 183,451.71 is: 251,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,782.89 : 183,451.71 = 183,451.71 : x
  2. Step 2: Convert to fraction form
    133,782.89/183,451.71 = 183,451.71/x
  3. Step 3: Cross multiply
    133,782.89x = 183,451.71 × 183,451.71
  4. Step 4: Simplify right side
    133,782.89x = 33,654,530,245.90
  5. Step 5: Solve for x
    x = 33,654,530,245.90/133,782.89
  6. Step 6: Final answer
    x = 251,560.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.