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Finding the Third Proportional to 104,576 and 157,839

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Solution

The third proportional to 104,576 and 157,839 is: 238,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,576 : 157,839 = 157,839 : x
  2. Step 2: Convert to fraction form
    104,576/157,839 = 157,839/x
  3. Step 3: Cross multiply
    104,576x = 157,839 × 157,839
  4. Step 4: Simplify right side
    104,576x = 24,913,149,921
  5. Step 5: Solve for x
    x = 24,913,149,921/104,576
  6. Step 6: Final answer
    x = 238,230.09

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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.