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Finding the Third Proportional to 76,269 and 116,673

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Solution

The third proportional to 76,269 and 116,673 is: 178,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,269 : 116,673 = 116,673 : x
  2. Step 2: Convert to fraction form
    76,269/116,673 = 116,673/x
  3. Step 3: Cross multiply
    76,269x = 116,673 × 116,673
  4. Step 4: Simplify right side
    76,269x = 13,612,588,929
  5. Step 5: Solve for x
    x = 13,612,588,929/76,269
  6. Step 6: Final answer
    x = 178,481.28

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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.