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Finding the Third Proportional to 82,040.34 and 123,060.94

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Solution

The third proportional to 82,040.34 and 123,060.94 is: 184,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,040.34 : 123,060.94 = 123,060.94 : x
  2. Step 2: Convert to fraction form
    82,040.34/123,060.94 = 123,060.94/x
  3. Step 3: Cross multiply
    82,040.34x = 123,060.94 × 123,060.94
  4. Step 4: Simplify right side
    82,040.34x = 15,143,994,338.38
  5. Step 5: Solve for x
    x = 15,143,994,338.38/82,040.34
  6. Step 6: Final answer
    x = 184,592.04

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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.