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Finding the Third Proportional to 119,900 and 243,162

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Solution

The third proportional to 119,900 and 243,162 is: 493,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,900 : 243,162 = 243,162 : x
  2. Step 2: Convert to fraction form
    119,900/243,162 = 243,162/x
  3. Step 3: Cross multiply
    119,900x = 243,162 × 243,162
  4. Step 4: Simplify right side
    119,900x = 59,127,758,244
  5. Step 5: Solve for x
    x = 59,127,758,244/119,900
  6. Step 6: Final answer
    x = 493,142.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.