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Finding the Third Proportional to 47,932 and 104,229

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Solution

The third proportional to 47,932 and 104,229 is: 226,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,932 : 104,229 = 104,229 : x
  2. Step 2: Convert to fraction form
    47,932/104,229 = 104,229/x
  3. Step 3: Cross multiply
    47,932x = 104,229 × 104,229
  4. Step 4: Simplify right side
    47,932x = 10,863,684,441
  5. Step 5: Solve for x
    x = 10,863,684,441/47,932
  6. Step 6: Final answer
    x = 226,647.84

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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.