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Finding the Third Proportional to 81,852.47 and 123,083.30

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Solution

The third proportional to 81,852.47 and 123,083.30 is: 185,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,852.47 : 123,083.30 = 123,083.30 : x
  2. Step 2: Convert to fraction form
    81,852.47/123,083.30 = 123,083.30/x
  3. Step 3: Cross multiply
    81,852.47x = 123,083.30 × 123,083.30
  4. Step 4: Simplify right side
    81,852.47x = 15,149,497,969.62
  5. Step 5: Solve for x
    x = 15,149,497,969.62/81,852.47
  6. Step 6: Final answer
    x = 185,082.97

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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.