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Finding the Third Proportional to 55,413 and 114,093

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Solution

The third proportional to 55,413 and 114,093 is: 234,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,413 : 114,093 = 114,093 : x
  2. Step 2: Convert to fraction form
    55,413/114,093 = 114,093/x
  3. Step 3: Cross multiply
    55,413x = 114,093 × 114,093
  4. Step 4: Simplify right side
    55,413x = 13,017,212,649
  5. Step 5: Solve for x
    x = 13,017,212,649/55,413
  6. Step 6: Final answer
    x = 234,912.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.