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Finding the Third Proportional to 71,162 and 154,852

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Solution

The third proportional to 71,162 and 154,852 is: 336,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,162 : 154,852 = 154,852 : x
  2. Step 2: Convert to fraction form
    71,162/154,852 = 154,852/x
  3. Step 3: Cross multiply
    71,162x = 154,852 × 154,852
  4. Step 4: Simplify right side
    71,162x = 23,979,141,904
  5. Step 5: Solve for x
    x = 23,979,141,904/71,162
  6. Step 6: Final answer
    x = 336,965.54

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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.