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Finding the Third Proportional to 47,646 and 103,662

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Solution

The third proportional to 47,646 and 103,662 is: 225,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,646 : 103,662 = 103,662 : x
  2. Step 2: Convert to fraction form
    47,646/103,662 = 103,662/x
  3. Step 3: Cross multiply
    47,646x = 103,662 × 103,662
  4. Step 4: Simplify right side
    47,646x = 10,745,810,244
  5. Step 5: Solve for x
    x = 10,745,810,244/47,646
  6. Step 6: Final answer
    x = 225,534.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.