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Finding the Third Proportional to 51,819 and 111,909

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Solution

The third proportional to 51,819 and 111,909 is: 241,680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819 : 111,909 = 111,909 : x
  2. Step 2: Convert to fraction form
    51,819/111,909 = 111,909/x
  3. Step 3: Cross multiply
    51,819x = 111,909 × 111,909
  4. Step 4: Simplify right side
    51,819x = 12,523,624,281
  5. Step 5: Solve for x
    x = 12,523,624,281/51,819
  6. Step 6: Final answer
    x = 241,680.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.