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Finding the Third Proportional to 81,251.44 and 122,122.69

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Solution

The third proportional to 81,251.44 and 122,122.69 is: 183,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,251.44 : 122,122.69 = 122,122.69 : x
  2. Step 2: Convert to fraction form
    81,251.44/122,122.69 = 122,122.69/x
  3. Step 3: Cross multiply
    81,251.44x = 122,122.69 × 122,122.69
  4. Step 4: Simplify right side
    81,251.44x = 14,913,950,802.22
  5. Step 5: Solve for x
    x = 14,913,950,802.22/81,251.44
  6. Step 6: Final answer
    x = 183,553.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.