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Finding the Third Proportional to 49,802 and 107,154

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Solution

The third proportional to 49,802 and 107,154 is: 230,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,802 : 107,154 = 107,154 : x
  2. Step 2: Convert to fraction form
    49,802/107,154 = 107,154/x
  3. Step 3: Cross multiply
    49,802x = 107,154 × 107,154
  4. Step 4: Simplify right side
    49,802x = 11,481,979,716
  5. Step 5: Solve for x
    x = 11,481,979,716/49,802
  6. Step 6: Final answer
    x = 230,552.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.