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Finding the Third Proportional to 83,142.38 and 126,789.38

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Solution

The third proportional to 83,142.38 and 126,789.38 is: 193,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,142.38 : 126,789.38 = 126,789.38 : x
  2. Step 2: Convert to fraction form
    83,142.38/126,789.38 = 126,789.38/x
  3. Step 3: Cross multiply
    83,142.38x = 126,789.38 × 126,789.38
  4. Step 4: Simplify right side
    83,142.38x = 16,075,545,612.89
  5. Step 5: Solve for x
    x = 16,075,545,612.89/83,142.38
  6. Step 6: Final answer
    x = 193,349.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.