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Finding the Third Proportional to 55,396 and 120,944

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Solution

The third proportional to 55,396 and 120,944 is: 264,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,396 : 120,944 = 120,944 : x
  2. Step 2: Convert to fraction form
    55,396/120,944 = 120,944/x
  3. Step 3: Cross multiply
    55,396x = 120,944 × 120,944
  4. Step 4: Simplify right side
    55,396x = 14,627,451,136
  5. Step 5: Solve for x
    x = 14,627,451,136/55,396
  6. Step 6: Final answer
    x = 264,052.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.