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Finding the Third Proportional to 49,651.50 and 108,051

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Solution

The third proportional to 49,651.50 and 108,051 is: 235,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,651.50 : 108,051 = 108,051 : x
  2. Step 2: Convert to fraction form
    49,651.50/108,051 = 108,051/x
  3. Step 3: Cross multiply
    49,651.50x = 108,051 × 108,051
  4. Step 4: Simplify right side
    49,651.50x = 11,675,018,601
  5. Step 5: Solve for x
    x = 11,675,018,601/49,651.50
  6. Step 6: Final answer
    x = 235,139.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.