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Finding the Third Proportional to 76,162 and 119,103

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Solution

The third proportional to 76,162 and 119,103 is: 186,254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,162 : 119,103 = 119,103 : x
  2. Step 2: Convert to fraction form
    76,162/119,103 = 119,103/x
  3. Step 3: Cross multiply
    76,162x = 119,103 × 119,103
  4. Step 4: Simplify right side
    76,162x = 14,185,524,609
  5. Step 5: Solve for x
    x = 14,185,524,609/76,162
  6. Step 6: Final answer
    x = 186,254.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.