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Finding the Third Proportional to 105,738 and 161,956

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Solution

The third proportional to 105,738 and 161,956 is: 248,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,738 : 161,956 = 161,956 : x
  2. Step 2: Convert to fraction form
    105,738/161,956 = 161,956/x
  3. Step 3: Cross multiply
    105,738x = 161,956 × 161,956
  4. Step 4: Simplify right side
    105,738x = 26,229,745,936
  5. Step 5: Solve for x
    x = 26,229,745,936/105,738
  6. Step 6: Final answer
    x = 248,063.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.