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Finding the Third Proportional to 59,001 and 127,393

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Solution

The third proportional to 59,001 and 127,393 is: 275,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,001 : 127,393 = 127,393 : x
  2. Step 2: Convert to fraction form
    59,001/127,393 = 127,393/x
  3. Step 3: Cross multiply
    59,001x = 127,393 × 127,393
  4. Step 4: Simplify right side
    59,001x = 16,228,976,449
  5. Step 5: Solve for x
    x = 16,228,976,449/59,001
  6. Step 6: Final answer
    x = 275,062.74

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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.