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Finding the Third Proportional to 54,940 and 117,656

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Solution

The third proportional to 54,940 and 117,656 is: 251,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940 : 117,656 = 117,656 : x
  2. Step 2: Convert to fraction form
    54,940/117,656 = 117,656/x
  3. Step 3: Cross multiply
    54,940x = 117,656 × 117,656
  4. Step 4: Simplify right side
    54,940x = 13,842,934,336
  5. Step 5: Solve for x
    x = 13,842,934,336/54,940
  6. Step 6: Final answer
    x = 251,964.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.