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Finding the Third Proportional to 68,028 and 105,696

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Solution

The third proportional to 68,028 and 105,696 is: 164,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,028 : 105,696 = 105,696 : x
  2. Step 2: Convert to fraction form
    68,028/105,696 = 105,696/x
  3. Step 3: Cross multiply
    68,028x = 105,696 × 105,696
  4. Step 4: Simplify right side
    68,028x = 11,171,644,416
  5. Step 5: Solve for x
    x = 11,171,644,416/68,028
  6. Step 6: Final answer
    x = 164,221.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.