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Finding the Third Proportional to 56,198 and 121,108

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Solution

The third proportional to 56,198 and 121,108 is: 260,990.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,198 : 121,108 = 121,108 : x
  2. Step 2: Convert to fraction form
    56,198/121,108 = 121,108/x
  3. Step 3: Cross multiply
    56,198x = 121,108 × 121,108
  4. Step 4: Simplify right side
    56,198x = 14,667,147,664
  5. Step 5: Solve for x
    x = 14,667,147,664/56,198
  6. Step 6: Final answer
    x = 260,990.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.