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Finding the Third Proportional to 55,958 and 120,230

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Solution

The third proportional to 55,958 and 120,230 is: 258,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,958 : 120,230 = 120,230 : x
  2. Step 2: Convert to fraction form
    55,958/120,230 = 120,230/x
  3. Step 3: Cross multiply
    55,958x = 120,230 × 120,230
  4. Step 4: Simplify right side
    55,958x = 14,455,252,900
  5. Step 5: Solve for x
    x = 14,455,252,900/55,958
  6. Step 6: Final answer
    x = 258,323.26

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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.