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Finding the Third Proportional to 49,902 and 106,716

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Solution

The third proportional to 49,902 and 106,716 is: 228,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902 : 106,716 = 106,716 : x
  2. Step 2: Convert to fraction form
    49,902/106,716 = 106,716/x
  3. Step 3: Cross multiply
    49,902x = 106,716 × 106,716
  4. Step 4: Simplify right side
    49,902x = 11,388,304,656
  5. Step 5: Solve for x
    x = 11,388,304,656/49,902
  6. Step 6: Final answer
    x = 228,213.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.