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Finding the Third Proportional to 81,965.25 and 176,850

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Solution

The third proportional to 81,965.25 and 176,850 is: 381,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,965.25 : 176,850 = 176,850 : x
  2. Step 2: Convert to fraction form
    81,965.25/176,850 = 176,850/x
  3. Step 3: Cross multiply
    81,965.25x = 176,850 × 176,850
  4. Step 4: Simplify right side
    81,965.25x = 31,275,922,500
  5. Step 5: Solve for x
    x = 31,275,922,500/81,965.25
  6. Step 6: Final answer
    x = 381,575.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.