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Finding the Third Proportional to 51,364 and 107,696

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Solution

The third proportional to 51,364 and 107,696 is: 225,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,364 : 107,696 = 107,696 : x
  2. Step 2: Convert to fraction form
    51,364/107,696 = 107,696/x
  3. Step 3: Cross multiply
    51,364x = 107,696 × 107,696
  4. Step 4: Simplify right side
    51,364x = 11,598,428,416
  5. Step 5: Solve for x
    x = 11,598,428,416/51,364
  6. Step 6: Final answer
    x = 225,808.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.