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Finding the Third Proportional to 59,832 and 125,858

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Solution

The third proportional to 59,832 and 125,858 is: 264,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,832 : 125,858 = 125,858 : x
  2. Step 2: Convert to fraction form
    59,832/125,858 = 125,858/x
  3. Step 3: Cross multiply
    59,832x = 125,858 × 125,858
  4. Step 4: Simplify right side
    59,832x = 15,840,236,164
  5. Step 5: Solve for x
    x = 15,840,236,164/59,832
  6. Step 6: Final answer
    x = 264,745.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.