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Finding the Third Proportional to 47,915 and 104,206

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Solution

The third proportional to 47,915 and 104,206 is: 226,628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,915 : 104,206 = 104,206 : x
  2. Step 2: Convert to fraction form
    47,915/104,206 = 104,206/x
  3. Step 3: Cross multiply
    47,915x = 104,206 × 104,206
  4. Step 4: Simplify right side
    47,915x = 10,858,890,436
  5. Step 5: Solve for x
    x = 10,858,890,436/47,915
  6. Step 6: Final answer
    x = 226,628.20

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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.