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Finding the Third Proportional to 49,214 and 73,809

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Solution

The third proportional to 49,214 and 73,809 is: 110,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,214 : 73,809 = 73,809 : x
  2. Step 2: Convert to fraction form
    49,214/73,809 = 73,809/x
  3. Step 3: Cross multiply
    49,214x = 73,809 × 73,809
  4. Step 4: Simplify right side
    49,214x = 5,447,768,481
  5. Step 5: Solve for x
    x = 5,447,768,481/49,214
  6. Step 6: Final answer
    x = 110,695.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.