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Finding the Third Proportional to 81,764 and 176,652

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Solution

The third proportional to 81,764 and 176,652 is: 381,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,764 : 176,652 = 176,652 : x
  2. Step 2: Convert to fraction form
    81,764/176,652 = 176,652/x
  3. Step 3: Cross multiply
    81,764x = 176,652 × 176,652
  4. Step 4: Simplify right side
    81,764x = 31,205,929,104
  5. Step 5: Solve for x
    x = 31,205,929,104/81,764
  6. Step 6: Final answer
    x = 381,658.54

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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.