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Finding the Third Proportional to 51,665.25 and 113,494.88

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Solution

The third proportional to 51,665.25 and 113,494.88 is: 249,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,665.25 : 113,494.88 = 113,494.88 : x
  2. Step 2: Convert to fraction form
    51,665.25/113,494.88 = 113,494.88/x
  3. Step 3: Cross multiply
    51,665.25x = 113,494.88 × 113,494.88
  4. Step 4: Simplify right side
    51,665.25x = 12,881,086,651.27
  5. Step 5: Solve for x
    x = 12,881,086,651.27/51,665.25
  6. Step 6: Final answer
    x = 249,318.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.