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Finding the Third Proportional to 54,329 and 83,108

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Solution

The third proportional to 54,329 and 83,108 is: 127,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,329 : 83,108 = 83,108 : x
  2. Step 2: Convert to fraction form
    54,329/83,108 = 83,108/x
  3. Step 3: Cross multiply
    54,329x = 83,108 × 83,108
  4. Step 4: Simplify right side
    54,329x = 6,906,939,664
  5. Step 5: Solve for x
    x = 6,906,939,664/54,329
  6. Step 6: Final answer
    x = 127,131.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.