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Finding the Third Proportional to 70,896 and 154,671

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Solution

The third proportional to 70,896 and 154,671 is: 337,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,896 : 154,671 = 154,671 : x
  2. Step 2: Convert to fraction form
    70,896/154,671 = 154,671/x
  3. Step 3: Cross multiply
    70,896x = 154,671 × 154,671
  4. Step 4: Simplify right side
    70,896x = 23,923,118,241
  5. Step 5: Solve for x
    x = 23,923,118,241/70,896
  6. Step 6: Final answer
    x = 337,439.61

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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.