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Finding the Third Proportional to 81,365.25 and 176,262.38

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Solution

The third proportional to 81,365.25 and 176,262.38 is: 381,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,365.25 : 176,262.38 = 176,262.38 : x
  2. Step 2: Convert to fraction form
    81,365.25/176,262.38 = 176,262.38/x
  3. Step 3: Cross multiply
    81,365.25x = 176,262.38 × 176,262.38
  4. Step 4: Simplify right side
    81,365.25x = 31,068,424,840.64
  5. Step 5: Solve for x
    x = 31,068,424,840.64/81,365.25
  6. Step 6: Final answer
    x = 381,838.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.