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Finding the Third Proportional to 51,850.13 and 122,244.19

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Solution

The third proportional to 51,850.13 and 122,244.19 is: 288,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,850.13 : 122,244.19 = 122,244.19 : x
  2. Step 2: Convert to fraction form
    51,850.13/122,244.19 = 122,244.19/x
  3. Step 3: Cross multiply
    51,850.13x = 122,244.19 × 122,244.19
  4. Step 4: Simplify right side
    51,850.13x = 14,943,641,377.54
  5. Step 5: Solve for x
    x = 14,943,641,377.54/51,850.13
  6. Step 6: Final answer
    x = 288,208.40

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.