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Finding the Third Proportional to 119,166 and 248,130

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Solution

The third proportional to 119,166 and 248,130 is: 516,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,166 : 248,130 = 248,130 : x
  2. Step 2: Convert to fraction form
    119,166/248,130 = 248,130/x
  3. Step 3: Cross multiply
    119,166x = 248,130 × 248,130
  4. Step 4: Simplify right side
    119,166x = 61,568,496,900
  5. Step 5: Solve for x
    x = 61,568,496,900/119,166
  6. Step 6: Final answer
    x = 516,661.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.