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Finding the Third Proportional to 51,485.50 and 82,224.50

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Solution

The third proportional to 51,485.50 and 82,224.50 is: 131,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,485.50 : 82,224.50 = 82,224.50 : x
  2. Step 2: Convert to fraction form
    51,485.50/82,224.50 = 82,224.50/x
  3. Step 3: Cross multiply
    51,485.50x = 82,224.50 × 82,224.50
  4. Step 4: Simplify right side
    51,485.50x = 6,760,868,400.25
  5. Step 5: Solve for x
    x = 6,760,868,400.25/51,485.50
  6. Step 6: Final answer
    x = 131,315.97

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.