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Finding the Third Proportional to 79,450 and 116,743

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Solution

The third proportional to 79,450 and 116,743 is: 171,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,450 : 116,743 = 116,743 : x
  2. Step 2: Convert to fraction form
    79,450/116,743 = 116,743/x
  3. Step 3: Cross multiply
    79,450x = 116,743 × 116,743
  4. Step 4: Simplify right side
    79,450x = 13,628,928,049
  5. Step 5: Solve for x
    x = 13,628,928,049/79,450
  6. Step 6: Final answer
    x = 171,540.94

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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.