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Finding the Third Proportional to 123,971.75 and 184,135.25

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Solution

The third proportional to 123,971.75 and 184,135.25 is: 273,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,971.75 : 184,135.25 = 184,135.25 : x
  2. Step 2: Convert to fraction form
    123,971.75/184,135.25 = 184,135.25/x
  3. Step 3: Cross multiply
    123,971.75x = 184,135.25 × 184,135.25
  4. Step 4: Simplify right side
    123,971.75x = 33,905,790,292.56
  5. Step 5: Solve for x
    x = 33,905,790,292.56/123,971.75
  6. Step 6: Final answer
    x = 273,496.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.