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Finding the Third Proportional to 119,256 and 161,941

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Solution

The third proportional to 119,256 and 161,941 is: 219,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,256 : 161,941 = 161,941 : x
  2. Step 2: Convert to fraction form
    119,256/161,941 = 161,941/x
  3. Step 3: Cross multiply
    119,256x = 161,941 × 161,941
  4. Step 4: Simplify right side
    119,256x = 26,224,887,481
  5. Step 5: Solve for x
    x = 26,224,887,481/119,256
  6. Step 6: Final answer
    x = 219,904.13

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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.