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Finding the Third Proportional to 81,325.13 and 176,226.19

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Solution

The third proportional to 81,325.13 and 176,226.19 is: 381,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,325.13 : 176,226.19 = 176,226.19 : x
  2. Step 2: Convert to fraction form
    81,325.13/176,226.19 = 176,226.19/x
  3. Step 3: Cross multiply
    81,325.13x = 176,226.19 × 176,226.19
  4. Step 4: Simplify right side
    81,325.13x = 31,055,669,160.79
  5. Step 5: Solve for x
    x = 31,055,669,160.79/81,325.13
  6. Step 6: Final answer
    x = 381,870.54

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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.