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Finding the Third Proportional to 51,193.13 and 76,394.81

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Solution

The third proportional to 51,193.13 and 76,394.81 is: 114,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,193.13 : 76,394.81 = 76,394.81 : x
  2. Step 2: Convert to fraction form
    51,193.13/76,394.81 = 76,394.81/x
  3. Step 3: Cross multiply
    51,193.13x = 76,394.81 × 76,394.81
  4. Step 4: Simplify right side
    51,193.13x = 5,836,167,376.91
  5. Step 5: Solve for x
    x = 5,836,167,376.91/51,193.13
  6. Step 6: Final answer
    x = 114,002.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.