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Finding the Third Proportional to 60,868 and 132,809

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Solution

The third proportional to 60,868 and 132,809 is: 289,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,868 : 132,809 = 132,809 : x
  2. Step 2: Convert to fraction form
    60,868/132,809 = 132,809/x
  3. Step 3: Cross multiply
    60,868x = 132,809 × 132,809
  4. Step 4: Simplify right side
    60,868x = 17,638,230,481
  5. Step 5: Solve for x
    x = 17,638,230,481/60,868
  6. Step 6: Final answer
    x = 289,778.38

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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.