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Finding the Third Proportional to 116,054 and 184,449

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Solution

The third proportional to 116,054 and 184,449 is: 293,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,054 : 184,449 = 184,449 : x
  2. Step 2: Convert to fraction form
    116,054/184,449 = 184,449/x
  3. Step 3: Cross multiply
    116,054x = 184,449 × 184,449
  4. Step 4: Simplify right side
    116,054x = 34,021,433,601
  5. Step 5: Solve for x
    x = 34,021,433,601/116,054
  6. Step 6: Final answer
    x = 293,151.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.