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Finding the Third Proportional to 83,181.94 and 129,040.59

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Solution

The third proportional to 83,181.94 and 129,040.59 is: 200,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,181.94 : 129,040.59 = 129,040.59 : x
  2. Step 2: Convert to fraction form
    83,181.94/129,040.59 = 129,040.59/x
  3. Step 3: Cross multiply
    83,181.94x = 129,040.59 × 129,040.59
  4. Step 4: Simplify right side
    83,181.94x = 16,651,474,835.35
  5. Step 5: Solve for x
    x = 16,651,474,835.35/83,181.94
  6. Step 6: Final answer
    x = 200,181.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.