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Finding the Third Proportional to 127,330 and 193,763

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Solution

The third proportional to 127,330 and 193,763 is: 294,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,330 : 193,763 = 193,763 : x
  2. Step 2: Convert to fraction form
    127,330/193,763 = 193,763/x
  3. Step 3: Cross multiply
    127,330x = 193,763 × 193,763
  4. Step 4: Simplify right side
    127,330x = 37,544,100,169
  5. Step 5: Solve for x
    x = 37,544,100,169/127,330
  6. Step 6: Final answer
    x = 294,856.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.