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Finding the Third Proportional to 76,696 and 165,728

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Solution

The third proportional to 76,696 and 165,728 is: 358,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,696 : 165,728 = 165,728 : x
  2. Step 2: Convert to fraction form
    76,696/165,728 = 165,728/x
  3. Step 3: Cross multiply
    76,696x = 165,728 × 165,728
  4. Step 4: Simplify right side
    76,696x = 27,465,769,984
  5. Step 5: Solve for x
    x = 27,465,769,984/76,696
  6. Step 6: Final answer
    x = 358,112.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.