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Finding the Third Proportional to 84,100 and 181,256

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Solution

The third proportional to 84,100 and 181,256 is: 390,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,100 : 181,256 = 181,256 : x
  2. Step 2: Convert to fraction form
    84,100/181,256 = 181,256/x
  3. Step 3: Cross multiply
    84,100x = 181,256 × 181,256
  4. Step 4: Simplify right side
    84,100x = 32,853,737,536
  5. Step 5: Solve for x
    x = 32,853,737,536/84,100
  6. Step 6: Final answer
    x = 390,650.86

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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.