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Finding the Third Proportional to 55,652 and 120,740

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Solution

The third proportional to 55,652 and 120,740 is: 261,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,652 : 120,740 = 120,740 : x
  2. Step 2: Convert to fraction form
    55,652/120,740 = 120,740/x
  3. Step 3: Cross multiply
    55,652x = 120,740 × 120,740
  4. Step 4: Simplify right side
    55,652x = 14,578,147,600
  5. Step 5: Solve for x
    x = 14,578,147,600/55,652
  6. Step 6: Final answer
    x = 261,951.91

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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.