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Finding the Third Proportional to 81,996 and 176,576

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Solution

The third proportional to 81,996 and 176,576 is: 380,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,996 : 176,576 = 176,576 : x
  2. Step 2: Convert to fraction form
    81,996/176,576 = 176,576/x
  3. Step 3: Cross multiply
    81,996x = 176,576 × 176,576
  4. Step 4: Simplify right side
    81,996x = 31,179,083,776
  5. Step 5: Solve for x
    x = 31,179,083,776/81,996
  6. Step 6: Final answer
    x = 380,251.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.