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Finding the Third Proportional to 27,158 and 57,904

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Solution

The third proportional to 27,158 and 57,904 is: 123,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,158 : 57,904 = 57,904 : x
  2. Step 2: Convert to fraction form
    27,158/57,904 = 57,904/x
  3. Step 3: Cross multiply
    27,158x = 57,904 × 57,904
  4. Step 4: Simplify right side
    27,158x = 3,352,873,216
  5. Step 5: Solve for x
    x = 3,352,873,216/27,158
  6. Step 6: Final answer
    x = 123,458.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.