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Finding the Third Proportional to 49,322 and 107,870

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Solution

The third proportional to 49,322 and 107,870 is: 235,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322 : 107,870 = 107,870 : x
  2. Step 2: Convert to fraction form
    49,322/107,870 = 107,870/x
  3. Step 3: Cross multiply
    49,322x = 107,870 × 107,870
  4. Step 4: Simplify right side
    49,322x = 11,635,936,900
  5. Step 5: Solve for x
    x = 11,635,936,900/49,322
  6. Step 6: Final answer
    x = 235,917.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.