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Finding the Third Proportional to 74,769.75 and 100,733.63

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Solution

The third proportional to 74,769.75 and 100,733.63 is: 135,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,769.75 : 100,733.63 = 100,733.63 : x
  2. Step 2: Convert to fraction form
    74,769.75/100,733.63 = 100,733.63/x
  3. Step 3: Cross multiply
    74,769.75x = 100,733.63 × 100,733.63
  4. Step 4: Simplify right side
    74,769.75x = 10,147,263,205.64
  5. Step 5: Solve for x
    x = 10,147,263,205.64/74,769.75
  6. Step 6: Final answer
    x = 135,713.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.