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Finding the Third Proportional to 133,764.75 and 183,423.38

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Solution

The third proportional to 133,764.75 and 183,423.38 is: 251,517.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,764.75 : 183,423.38 = 183,423.38 : x
  2. Step 2: Convert to fraction form
    133,764.75/183,423.38 = 183,423.38/x
  3. Step 3: Cross multiply
    133,764.75x = 183,423.38 × 183,423.38
  4. Step 4: Simplify right side
    133,764.75x = 33,644,134,496.39
  5. Step 5: Solve for x
    x = 33,644,134,496.39/133,764.75
  6. Step 6: Final answer
    x = 251,517.19

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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.