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Finding the Third Proportional to 47,211 and 104,913

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Solution

The third proportional to 47,211 and 104,913 is: 233,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,211 : 104,913 = 104,913 : x
  2. Step 2: Convert to fraction form
    47,211/104,913 = 104,913/x
  3. Step 3: Cross multiply
    47,211x = 104,913 × 104,913
  4. Step 4: Simplify right side
    47,211x = 11,006,737,569
  5. Step 5: Solve for x
    x = 11,006,737,569/47,211
  6. Step 6: Final answer
    x = 233,139.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.