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Finding the Third Proportional to 47,810 and 103,912

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Solution

The third proportional to 47,810 and 103,912 is: 225,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,810 : 103,912 = 103,912 : x
  2. Step 2: Convert to fraction form
    47,810/103,912 = 103,912/x
  3. Step 3: Cross multiply
    47,810x = 103,912 × 103,912
  4. Step 4: Simplify right side
    47,810x = 10,797,703,744
  5. Step 5: Solve for x
    x = 10,797,703,744/47,810
  6. Step 6: Final answer
    x = 225,846.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.