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Finding the Third Proportional to 82,244 and 123,030

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Solution

The third proportional to 82,244 and 123,030 is: 184,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,244 : 123,030 = 123,030 : x
  2. Step 2: Convert to fraction form
    82,244/123,030 = 123,030/x
  3. Step 3: Cross multiply
    82,244x = 123,030 × 123,030
  4. Step 4: Simplify right side
    82,244x = 15,136,380,900
  5. Step 5: Solve for x
    x = 15,136,380,900/82,244
  6. Step 6: Final answer
    x = 184,042.37

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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.