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Finding the Third Proportional to 54,591 and 115,742.25

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Solution

The third proportional to 54,591 and 115,742.25 is: 245,393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,591 : 115,742.25 = 115,742.25 : x
  2. Step 2: Convert to fraction form
    54,591/115,742.25 = 115,742.25/x
  3. Step 3: Cross multiply
    54,591x = 115,742.25 × 115,742.25
  4. Step 4: Simplify right side
    54,591x = 13,396,268,435.06
  5. Step 5: Solve for x
    x = 13,396,268,435.06/54,591
  6. Step 6: Final answer
    x = 245,393.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.