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Finding the Third Proportional to 133,951 and 183,673

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Solution

The third proportional to 133,951 and 183,673 is: 251,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,951 : 183,673 = 183,673 : x
  2. Step 2: Convert to fraction form
    133,951/183,673 = 183,673/x
  3. Step 3: Cross multiply
    133,951x = 183,673 × 183,673
  4. Step 4: Simplify right side
    133,951x = 33,735,770,929
  5. Step 5: Solve for x
    x = 33,735,770,929/133,951
  6. Step 6: Final answer
    x = 251,851.58

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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.