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Finding the Third Proportional to 131,496.50 and 213,636.75

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Solution

The third proportional to 131,496.50 and 213,636.75 is: 347,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,496.50 : 213,636.75 = 213,636.75 : x
  2. Step 2: Convert to fraction form
    131,496.50/213,636.75 = 213,636.75/x
  3. Step 3: Cross multiply
    131,496.50x = 213,636.75 × 213,636.75
  4. Step 4: Simplify right side
    131,496.50x = 45,640,660,950.56
  5. Step 5: Solve for x
    x = 45,640,660,950.56/131,496.50
  6. Step 6: Final answer
    x = 347,086.51

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.