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Finding the Third Proportional to 59,961 and 129,858

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Solution

The third proportional to 59,961 and 129,858 is: 281,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,961 : 129,858 = 129,858 : x
  2. Step 2: Convert to fraction form
    59,961/129,858 = 129,858/x
  3. Step 3: Cross multiply
    59,961x = 129,858 × 129,858
  4. Step 4: Simplify right side
    59,961x = 16,863,100,164
  5. Step 5: Solve for x
    x = 16,863,100,164/59,961
  6. Step 6: Final answer
    x = 281,234.47

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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.