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Finding the Third Proportional to 82,240.31 and 123,023.81

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Solution

The third proportional to 82,240.31 and 123,023.81 is: 184,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,240.31 : 123,023.81 = 123,023.81 : x
  2. Step 2: Convert to fraction form
    82,240.31/123,023.81 = 123,023.81/x
  3. Step 3: Cross multiply
    82,240.31x = 123,023.81 × 123,023.81
  4. Step 4: Simplify right side
    82,240.31x = 15,134,858,442.04
  5. Step 5: Solve for x
    x = 15,134,858,442.04/82,240.31
  6. Step 6: Final answer
    x = 184,032.11

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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.