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Finding the Third Proportional to 60,255 and 129,825

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Solution

The third proportional to 60,255 and 129,825 is: 279,720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,255 : 129,825 = 129,825 : x
  2. Step 2: Convert to fraction form
    60,255/129,825 = 129,825/x
  3. Step 3: Cross multiply
    60,255x = 129,825 × 129,825
  4. Step 4: Simplify right side
    60,255x = 16,854,530,625
  5. Step 5: Solve for x
    x = 16,854,530,625/60,255
  6. Step 6: Final answer
    x = 279,720.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.