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Finding the Third Proportional to 55,739 and 120,186

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Solution

The third proportional to 55,739 and 120,186 is: 259,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,739 : 120,186 = 120,186 : x
  2. Step 2: Convert to fraction form
    55,739/120,186 = 120,186/x
  3. Step 3: Cross multiply
    55,739x = 120,186 × 120,186
  4. Step 4: Simplify right side
    55,739x = 14,444,674,596
  5. Step 5: Solve for x
    x = 14,444,674,596/55,739
  6. Step 6: Final answer
    x = 259,148.43

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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.