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Finding the Third Proportional to 70,858 and 154,172

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Solution

The third proportional to 70,858 and 154,172 is: 335,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,858 : 154,172 = 154,172 : x
  2. Step 2: Convert to fraction form
    70,858/154,172 = 154,172/x
  3. Step 3: Cross multiply
    70,858x = 154,172 × 154,172
  4. Step 4: Simplify right side
    70,858x = 23,769,005,584
  5. Step 5: Solve for x
    x = 23,769,005,584/70,858
  6. Step 6: Final answer
    x = 335,445.62

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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.