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Finding the Third Proportional to 50,721 and 107,106

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Solution

The third proportional to 50,721 and 107,106 is: 226,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,721 : 107,106 = 107,106 : x
  2. Step 2: Convert to fraction form
    50,721/107,106 = 107,106/x
  3. Step 3: Cross multiply
    50,721x = 107,106 × 107,106
  4. Step 4: Simplify right side
    50,721x = 11,471,695,236
  5. Step 5: Solve for x
    x = 11,471,695,236/50,721
  6. Step 6: Final answer
    x = 226,172.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.