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Finding the Third Proportional to 49,416 and 108,912

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Solution

The third proportional to 49,416 and 108,912 is: 240,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416 : 108,912 = 108,912 : x
  2. Step 2: Convert to fraction form
    49,416/108,912 = 108,912/x
  3. Step 3: Cross multiply
    49,416x = 108,912 × 108,912
  4. Step 4: Simplify right side
    49,416x = 11,861,823,744
  5. Step 5: Solve for x
    x = 11,861,823,744/49,416
  6. Step 6: Final answer
    x = 240,040.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.