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Finding the Third Proportional to 133,928 and 183,640

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Solution

The third proportional to 133,928 and 183,640 is: 251,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,928 : 183,640 = 183,640 : x
  2. Step 2: Convert to fraction form
    133,928/183,640 = 183,640/x
  3. Step 3: Cross multiply
    133,928x = 183,640 × 183,640
  4. Step 4: Simplify right side
    133,928x = 33,723,649,600
  5. Step 5: Solve for x
    x = 33,723,649,600/133,928
  6. Step 6: Final answer
    x = 251,804.32

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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.