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Finding the Third Proportional to 60,324.75 and 129,944.25

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Solution

The third proportional to 60,324.75 and 129,944.25 is: 279,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,324.75 : 129,944.25 = 129,944.25 : x
  2. Step 2: Convert to fraction form
    60,324.75/129,944.25 = 129,944.25/x
  3. Step 3: Cross multiply
    60,324.75x = 129,944.25 × 129,944.25
  4. Step 4: Simplify right side
    60,324.75x = 16,885,508,108.06
  5. Step 5: Solve for x
    x = 16,885,508,108.06/60,324.75
  6. Step 6: Final answer
    x = 279,910.12

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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.