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Finding the Third Proportional to 126,114 and 192,834

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Solution

The third proportional to 126,114 and 192,834 is: 294,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,114 : 192,834 = 192,834 : x
  2. Step 2: Convert to fraction form
    126,114/192,834 = 192,834/x
  3. Step 3: Cross multiply
    126,114x = 192,834 × 192,834
  4. Step 4: Simplify right side
    126,114x = 37,184,951,556
  5. Step 5: Solve for x
    x = 37,184,951,556/126,114
  6. Step 6: Final answer
    x = 294,851.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.