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Finding the Third Proportional to 46,504.13 and 102,120.75

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Solution

The third proportional to 46,504.13 and 102,120.75 is: 224,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,504.13 : 102,120.75 = 102,120.75 : x
  2. Step 2: Convert to fraction form
    46,504.13/102,120.75 = 102,120.75/x
  3. Step 3: Cross multiply
    46,504.13x = 102,120.75 × 102,120.75
  4. Step 4: Simplify right side
    46,504.13x = 10,428,647,580.56
  5. Step 5: Solve for x
    x = 10,428,647,580.56/46,504.13
  6. Step 6: Final answer
    x = 224,252.10

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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.