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Finding the Third Proportional to 51,608 and 72,676

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Solution

The third proportional to 51,608 and 72,676 is: 102,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,608 : 72,676 = 72,676 : x
  2. Step 2: Convert to fraction form
    51,608/72,676 = 72,676/x
  3. Step 3: Cross multiply
    51,608x = 72,676 × 72,676
  4. Step 4: Simplify right side
    51,608x = 5,281,800,976
  5. Step 5: Solve for x
    x = 5,281,800,976/51,608
  6. Step 6: Final answer
    x = 102,344.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.