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Finding the Third Proportional to 51,863.50 and 105,628.75

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Solution

The third proportional to 51,863.50 and 105,628.75 is: 215,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,863.50 : 105,628.75 = 105,628.75 : x
  2. Step 2: Convert to fraction form
    51,863.50/105,628.75 = 105,628.75/x
  3. Step 3: Cross multiply
    51,863.50x = 105,628.75 × 105,628.75
  4. Step 4: Simplify right side
    51,863.50x = 11,157,432,826.56
  5. Step 5: Solve for x
    x = 11,157,432,826.56/51,863.50
  6. Step 6: Final answer
    x = 215,130.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.