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Finding the Third Proportional to 79,305 and 116,766

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Solution

The third proportional to 79,305 and 116,766 is: 171,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,305 : 116,766 = 116,766 : x
  2. Step 2: Convert to fraction form
    79,305/116,766 = 116,766/x
  3. Step 3: Cross multiply
    79,305x = 116,766 × 116,766
  4. Step 4: Simplify right side
    79,305x = 13,634,298,756
  5. Step 5: Solve for x
    x = 13,634,298,756/79,305
  6. Step 6: Final answer
    x = 171,922.31

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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.