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Finding the Third Proportional to 71,629.95 and 154,263.23

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Solution

The third proportional to 71,629.95 and 154,263.23 is: 332,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,629.95 : 154,263.23 = 154,263.23 : x
  2. Step 2: Convert to fraction form
    71,629.95/154,263.23 = 154,263.23/x
  3. Step 3: Cross multiply
    71,629.95x = 154,263.23 × 154,263.23
  4. Step 4: Simplify right side
    71,629.95x = 23,797,145,479.84
  5. Step 5: Solve for x
    x = 23,797,145,479.84/71,629.95
  6. Step 6: Final answer
    x = 332,223.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.