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Finding the Third Proportional to 81,950.63 and 123,679.69

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Solution

The third proportional to 81,950.63 and 123,679.69 is: 186,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,950.63 : 123,679.69 = 123,679.69 : x
  2. Step 2: Convert to fraction form
    81,950.63/123,679.69 = 123,679.69/x
  3. Step 3: Cross multiply
    81,950.63x = 123,679.69 × 123,679.69
  4. Step 4: Simplify right side
    81,950.63x = 15,296,665,100.10
  5. Step 5: Solve for x
    x = 15,296,665,100.10/81,950.63
  6. Step 6: Final answer
    x = 186,657.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.