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Finding the Third Proportional to 47,646 and 103,758

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Solution

The third proportional to 47,646 and 103,758 is: 225,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,646 : 103,758 = 103,758 : x
  2. Step 2: Convert to fraction form
    47,646/103,758 = 103,758/x
  3. Step 3: Cross multiply
    47,646x = 103,758 × 103,758
  4. Step 4: Simplify right side
    47,646x = 10,765,722,564
  5. Step 5: Solve for x
    x = 10,765,722,564/47,646
  6. Step 6: Final answer
    x = 225,952.28

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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.