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Finding the Third Proportional to 126,174 and 184,845

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Solution

The third proportional to 126,174 and 184,845 is: 270,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,174 : 184,845 = 184,845 : x
  2. Step 2: Convert to fraction form
    126,174/184,845 = 184,845/x
  3. Step 3: Cross multiply
    126,174x = 184,845 × 184,845
  4. Step 4: Simplify right side
    126,174x = 34,167,674,025
  5. Step 5: Solve for x
    x = 34,167,674,025/126,174
  6. Step 6: Final answer
    x = 270,798.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.