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Finding the Third Proportional to 70,424 and 154,672

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Solution

The third proportional to 70,424 and 154,672 is: 339,705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,424 : 154,672 = 154,672 : x
  2. Step 2: Convert to fraction form
    70,424/154,672 = 154,672/x
  3. Step 3: Cross multiply
    70,424x = 154,672 × 154,672
  4. Step 4: Simplify right side
    70,424x = 23,923,427,584
  5. Step 5: Solve for x
    x = 23,923,427,584/70,424
  6. Step 6: Final answer
    x = 339,705.61

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