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Finding the Third Proportional to 55,786 and 120,824

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Solution

The third proportional to 55,786 and 120,824 is: 261,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,786 : 120,824 = 120,824 : x
  2. Step 2: Convert to fraction form
    55,786/120,824 = 120,824/x
  3. Step 3: Cross multiply
    55,786x = 120,824 × 120,824
  4. Step 4: Simplify right side
    55,786x = 14,598,438,976
  5. Step 5: Solve for x
    x = 14,598,438,976/55,786
  6. Step 6: Final answer
    x = 261,686.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.