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Finding the Third Proportional to 71,676 and 111,356

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Solution

The third proportional to 71,676 and 111,356 is: 173,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676 : 111,356 = 111,356 : x
  2. Step 2: Convert to fraction form
    71,676/111,356 = 111,356/x
  3. Step 3: Cross multiply
    71,676x = 111,356 × 111,356
  4. Step 4: Simplify right side
    71,676x = 12,400,158,736
  5. Step 5: Solve for x
    x = 12,400,158,736/71,676
  6. Step 6: Final answer
    x = 173,002.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.