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Finding the Third Proportional to 51,632 and 113,108

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Solution

The third proportional to 51,632 and 113,108 is: 247,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,632 : 113,108 = 113,108 : x
  2. Step 2: Convert to fraction form
    51,632/113,108 = 113,108/x
  3. Step 3: Cross multiply
    51,632x = 113,108 × 113,108
  4. Step 4: Simplify right side
    51,632x = 12,793,419,664
  5. Step 5: Solve for x
    x = 12,793,419,664/51,632
  6. Step 6: Final answer
    x = 247,780.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.