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Finding the Third Proportional to 59,843 and 127,462

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Solution

The third proportional to 59,843 and 127,462 is: 271,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,843 : 127,462 = 127,462 : x
  2. Step 2: Convert to fraction form
    59,843/127,462 = 127,462/x
  3. Step 3: Cross multiply
    59,843x = 127,462 × 127,462
  4. Step 4: Simplify right side
    59,843x = 16,246,561,444
  5. Step 5: Solve for x
    x = 16,246,561,444/59,843
  6. Step 6: Final answer
    x = 271,486.41

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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.