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Finding the Third Proportional to 76,928 and 116,836

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Solution

The third proportional to 76,928 and 116,836 is: 177,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,928 : 116,836 = 116,836 : x
  2. Step 2: Convert to fraction form
    76,928/116,836 = 116,836/x
  3. Step 3: Cross multiply
    76,928x = 116,836 × 116,836
  4. Step 4: Simplify right side
    76,928x = 13,650,650,896
  5. Step 5: Solve for x
    x = 13,650,650,896/76,928
  6. Step 6: Final answer
    x = 177,447.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.