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Finding the Third Proportional to 70,976.25 and 148,523.63

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Solution

The third proportional to 70,976.25 and 148,523.63 is: 310,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,976.25 : 148,523.63 = 148,523.63 : x
  2. Step 2: Convert to fraction form
    70,976.25/148,523.63 = 148,523.63/x
  3. Step 3: Cross multiply
    70,976.25x = 148,523.63 × 148,523.63
  4. Step 4: Simplify right side
    70,976.25x = 22,059,267,183.14
  5. Step 5: Solve for x
    x = 22,059,267,183.14/70,976.25
  6. Step 6: Final answer
    x = 310,797.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.