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Finding the Third Proportional to 133,767.25 and 183,427.75

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Solution

The third proportional to 133,767.25 and 183,427.75 is: 251,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,767.25 : 183,427.75 = 183,427.75 : x
  2. Step 2: Convert to fraction form
    133,767.25/183,427.75 = 183,427.75/x
  3. Step 3: Cross multiply
    133,767.25x = 183,427.75 × 183,427.75
  4. Step 4: Simplify right side
    133,767.25x = 33,645,739,470.06
  5. Step 5: Solve for x
    x = 33,645,739,470.06/133,767.25
  6. Step 6: Final answer
    x = 251,524.49

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