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Finding the Third Proportional to 81,741 and 176,004

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Solution

The third proportional to 81,741 and 176,004 is: 378,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,741 : 176,004 = 176,004 : x
  2. Step 2: Convert to fraction form
    81,741/176,004 = 176,004/x
  3. Step 3: Cross multiply
    81,741x = 176,004 × 176,004
  4. Step 4: Simplify right side
    81,741x = 30,977,408,016
  5. Step 5: Solve for x
    x = 30,977,408,016/81,741
  6. Step 6: Final answer
    x = 378,970.26

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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.