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Finding the Third Proportional to 119,263 and 161,949

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Solution

The third proportional to 119,263 and 161,949 is: 219,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,263 : 161,949 = 161,949 : x
  2. Step 2: Convert to fraction form
    119,263/161,949 = 161,949/x
  3. Step 3: Cross multiply
    119,263x = 161,949 × 161,949
  4. Step 4: Simplify right side
    119,263x = 26,227,478,601
  5. Step 5: Solve for x
    x = 26,227,478,601/119,263
  6. Step 6: Final answer
    x = 219,912.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.