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Finding the Third Proportional to 84,976 and 124,456

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Solution

The third proportional to 84,976 and 124,456 is: 182,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,976 : 124,456 = 124,456 : x
  2. Step 2: Convert to fraction form
    84,976/124,456 = 124,456/x
  3. Step 3: Cross multiply
    84,976x = 124,456 × 124,456
  4. Step 4: Simplify right side
    84,976x = 15,489,295,936
  5. Step 5: Solve for x
    x = 15,489,295,936/84,976
  6. Step 6: Final answer
    x = 182,278.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.