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Finding the Third Proportional to 59,157 and 127,694

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Solution

The third proportional to 59,157 and 127,694 is: 275,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,157 : 127,694 = 127,694 : x
  2. Step 2: Convert to fraction form
    59,157/127,694 = 127,694/x
  3. Step 3: Cross multiply
    59,157x = 127,694 × 127,694
  4. Step 4: Simplify right side
    59,157x = 16,305,757,636
  5. Step 5: Solve for x
    x = 16,305,757,636/59,157
  6. Step 6: Final answer
    x = 275,635.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.