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Finding the Third Proportional to 52,513.25 and 115,231.75

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Solution

The third proportional to 52,513.25 and 115,231.75 is: 252,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,513.25 : 115,231.75 = 115,231.75 : x
  2. Step 2: Convert to fraction form
    52,513.25/115,231.75 = 115,231.75/x
  3. Step 3: Cross multiply
    52,513.25x = 115,231.75 × 115,231.75
  4. Step 4: Simplify right side
    52,513.25x = 13,278,356,208.06
  5. Step 5: Solve for x
    x = 13,278,356,208.06/52,513.25
  6. Step 6: Final answer
    x = 252,857.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.