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Finding the Third Proportional to 82,692 and 174,728

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Solution

The third proportional to 82,692 and 174,728 is: 369,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,692 : 174,728 = 174,728 : x
  2. Step 2: Convert to fraction form
    82,692/174,728 = 174,728/x
  3. Step 3: Cross multiply
    82,692x = 174,728 × 174,728
  4. Step 4: Simplify right side
    82,692x = 30,529,873,984
  5. Step 5: Solve for x
    x = 30,529,873,984/82,692
  6. Step 6: Final answer
    x = 369,199.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.