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Finding the Third Proportional to 126,309.38 and 190,772.72

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Solution

The third proportional to 126,309.38 and 190,772.72 is: 288,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,309.38 : 190,772.72 = 190,772.72 : x
  2. Step 2: Convert to fraction form
    126,309.38/190,772.72 = 190,772.72/x
  3. Step 3: Cross multiply
    126,309.38x = 190,772.72 × 190,772.72
  4. Step 4: Simplify right side
    126,309.38x = 36,394,230,219.27
  5. Step 5: Solve for x
    x = 36,394,230,219.27/126,309.38
  6. Step 6: Final answer
    x = 288,135.62

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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.