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Finding the Third Proportional to 55,976 and 120,232

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Solution

The third proportional to 55,976 and 120,232 is: 258,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,976 : 120,232 = 120,232 : x
  2. Step 2: Convert to fraction form
    55,976/120,232 = 120,232/x
  3. Step 3: Cross multiply
    55,976x = 120,232 × 120,232
  4. Step 4: Simplify right side
    55,976x = 14,455,733,824
  5. Step 5: Solve for x
    x = 14,455,733,824/55,976
  6. Step 6: Final answer
    x = 258,248.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.