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Finding the Third Proportional to 54,590.25 and 115,741.88

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Solution

The third proportional to 54,590.25 and 115,741.88 is: 245,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,590.25 : 115,741.88 = 115,741.88 : x
  2. Step 2: Convert to fraction form
    54,590.25/115,741.88 = 115,741.88/x
  3. Step 3: Cross multiply
    54,590.25x = 115,741.88 × 115,741.88
  4. Step 4: Simplify right side
    54,590.25x = 13,396,181,628.52
  5. Step 5: Solve for x
    x = 13,396,181,628.52/54,590.25
  6. Step 6: Final answer
    x = 245,395.13

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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.