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Finding the Third Proportional to 54,351 and 116,741.25

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Solution

The third proportional to 54,351 and 116,741.25 is: 250,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,351 : 116,741.25 = 116,741.25 : x
  2. Step 2: Convert to fraction form
    54,351/116,741.25 = 116,741.25/x
  3. Step 3: Cross multiply
    54,351x = 116,741.25 × 116,741.25
  4. Step 4: Simplify right side
    54,351x = 13,628,519,451.56
  5. Step 5: Solve for x
    x = 13,628,519,451.56/54,351
  6. Step 6: Final answer
    x = 250,750.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.