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Finding the Third Proportional to 79,683 and 111,674

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Solution

The third proportional to 79,683 and 111,674 is: 156,508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,683 : 111,674 = 111,674 : x
  2. Step 2: Convert to fraction form
    79,683/111,674 = 111,674/x
  3. Step 3: Cross multiply
    79,683x = 111,674 × 111,674
  4. Step 4: Simplify right side
    79,683x = 12,471,082,276
  5. Step 5: Solve for x
    x = 12,471,082,276/79,683
  6. Step 6: Final answer
    x = 156,508.69

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.