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Finding the Third Proportional to 81,104 and 129,150

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Solution

The third proportional to 81,104 and 129,150 is: 205,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,104 : 129,150 = 129,150 : x
  2. Step 2: Convert to fraction form
    81,104/129,150 = 129,150/x
  3. Step 3: Cross multiply
    81,104x = 129,150 × 129,150
  4. Step 4: Simplify right side
    81,104x = 16,679,722,500
  5. Step 5: Solve for x
    x = 16,679,722,500/81,104
  6. Step 6: Final answer
    x = 205,658.44

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.