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Finding the Third Proportional to 70,512.75 and 154,977.75

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Solution

The third proportional to 70,512.75 and 154,977.75 is: 340,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,512.75 : 154,977.75 = 154,977.75 : x
  2. Step 2: Convert to fraction form
    70,512.75/154,977.75 = 154,977.75/x
  3. Step 3: Cross multiply
    70,512.75x = 154,977.75 × 154,977.75
  4. Step 4: Simplify right side
    70,512.75x = 24,018,102,995.06
  5. Step 5: Solve for x
    x = 24,018,102,995.06/70,512.75
  6. Step 6: Final answer
    x = 340,620.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.