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Finding the Third Proportional to 80,953.50 and 125,670

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Solution

The third proportional to 80,953.50 and 125,670 is: 195,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,953.50 : 125,670 = 125,670 : x
  2. Step 2: Convert to fraction form
    80,953.50/125,670 = 125,670/x
  3. Step 3: Cross multiply
    80,953.50x = 125,670 × 125,670
  4. Step 4: Simplify right side
    80,953.50x = 15,792,948,900
  5. Step 5: Solve for x
    x = 15,792,948,900/80,953.50
  6. Step 6: Final answer
    x = 195,086.67

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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.