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Finding the Third Proportional to 51,293.25 and 76,734.84

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Solution

The third proportional to 51,293.25 and 76,734.84 is: 114,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,293.25 : 76,734.84 = 76,734.84 : x
  2. Step 2: Convert to fraction form
    51,293.25/76,734.84 = 76,734.84/x
  3. Step 3: Cross multiply
    51,293.25x = 76,734.84 × 76,734.84
  4. Step 4: Simplify right side
    51,293.25x = 5,888,236,245.34
  5. Step 5: Solve for x
    x = 5,888,236,245.34/51,293.25
  6. Step 6: Final answer
    x = 114,795.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.