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Finding the Third Proportional to 50,352 and 106,686

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Solution

The third proportional to 50,352 and 106,686 is: 226,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,352 : 106,686 = 106,686 : x
  2. Step 2: Convert to fraction form
    50,352/106,686 = 106,686/x
  3. Step 3: Cross multiply
    50,352x = 106,686 × 106,686
  4. Step 4: Simplify right side
    50,352x = 11,381,902,596
  5. Step 5: Solve for x
    x = 11,381,902,596/50,352
  6. Step 6: Final answer
    x = 226,046.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.