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Finding the Third Proportional to 79,696 and 119,076

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Solution

The third proportional to 79,696 and 119,076 is: 177,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,696 : 119,076 = 119,076 : x
  2. Step 2: Convert to fraction form
    79,696/119,076 = 119,076/x
  3. Step 3: Cross multiply
    79,696x = 119,076 × 119,076
  4. Step 4: Simplify right side
    79,696x = 14,179,093,776
  5. Step 5: Solve for x
    x = 14,179,093,776/79,696
  6. Step 6: Final answer
    x = 177,914.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.