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Finding the Third Proportional to 96,652 and 140,596

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Solution

The third proportional to 96,652 and 140,596 is: 204,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,652 : 140,596 = 140,596 : x
  2. Step 2: Convert to fraction form
    96,652/140,596 = 140,596/x
  3. Step 3: Cross multiply
    96,652x = 140,596 × 140,596
  4. Step 4: Simplify right side
    96,652x = 19,767,235,216
  5. Step 5: Solve for x
    x = 19,767,235,216/96,652
  6. Step 6: Final answer
    x = 204,519.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.