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Finding the Third Proportional to 82,936 and 177,706

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Solution

The third proportional to 82,936 and 177,706 is: 380,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,936 : 177,706 = 177,706 : x
  2. Step 2: Convert to fraction form
    82,936/177,706 = 177,706/x
  3. Step 3: Cross multiply
    82,936x = 177,706 × 177,706
  4. Step 4: Simplify right side
    82,936x = 31,579,422,436
  5. Step 5: Solve for x
    x = 31,579,422,436/82,936
  6. Step 6: Final answer
    x = 380,768.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.