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Finding the Third Proportional to 54,414.06 and 114,336.13

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Solution

The third proportional to 54,414.06 and 114,336.13 is: 240,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,414.06 : 114,336.13 = 114,336.13 : x
  2. Step 2: Convert to fraction form
    54,414.06/114,336.13 = 114,336.13/x
  3. Step 3: Cross multiply
    54,414.06x = 114,336.13 × 114,336.13
  4. Step 4: Simplify right side
    54,414.06x = 13,072,749,480.02
  5. Step 5: Solve for x
    x = 13,072,749,480.02/54,414.06
  6. Step 6: Final answer
    x = 240,245.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.