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Finding the Third Proportional to 104,180 and 157,722

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Solution

The third proportional to 104,180 and 157,722 is: 238,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,180 : 157,722 = 157,722 : x
  2. Step 2: Convert to fraction form
    104,180/157,722 = 157,722/x
  3. Step 3: Cross multiply
    104,180x = 157,722 × 157,722
  4. Step 4: Simplify right side
    104,180x = 24,876,229,284
  5. Step 5: Solve for x
    x = 24,876,229,284/104,180
  6. Step 6: Final answer
    x = 238,781.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.