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Finding the Third Proportional to 59,236 and 127,956

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Solution

The third proportional to 59,236 and 127,956 is: 276,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,236 : 127,956 = 127,956 : x
  2. Step 2: Convert to fraction form
    59,236/127,956 = 127,956/x
  3. Step 3: Cross multiply
    59,236x = 127,956 × 127,956
  4. Step 4: Simplify right side
    59,236x = 16,372,737,936
  5. Step 5: Solve for x
    x = 16,372,737,936/59,236
  6. Step 6: Final answer
    x = 276,398.44

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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.