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Finding the Third Proportional to 70,900 and 154,679

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Solution

The third proportional to 70,900 and 154,679 is: 337,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,900 : 154,679 = 154,679 : x
  2. Step 2: Convert to fraction form
    70,900/154,679 = 154,679/x
  3. Step 3: Cross multiply
    70,900x = 154,679 × 154,679
  4. Step 4: Simplify right side
    70,900x = 23,925,593,041
  5. Step 5: Solve for x
    x = 23,925,593,041/70,900
  6. Step 6: Final answer
    x = 337,455.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.