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Finding the Third Proportional to 49,802 and 107,902

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Solution

The third proportional to 49,802 and 107,902 is: 233,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,802 : 107,902 = 107,902 : x
  2. Step 2: Convert to fraction form
    49,802/107,902 = 107,902/x
  3. Step 3: Cross multiply
    49,802x = 107,902 × 107,902
  4. Step 4: Simplify right side
    49,802x = 11,642,841,604
  5. Step 5: Solve for x
    x = 11,642,841,604/49,802
  6. Step 6: Final answer
    x = 233,782.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.