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Finding the Third Proportional to 54,394 and 115,313

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Solution

The third proportional to 54,394 and 115,313 is: 244,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,394 : 115,313 = 115,313 : x
  2. Step 2: Convert to fraction form
    54,394/115,313 = 115,313/x
  3. Step 3: Cross multiply
    54,394x = 115,313 × 115,313
  4. Step 4: Simplify right side
    54,394x = 13,297,087,969
  5. Step 5: Solve for x
    x = 13,297,087,969/54,394
  6. Step 6: Final answer
    x = 244,458.73

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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.