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Finding the Third Proportional to 65,944.13 and 155,512.41

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Solution

The third proportional to 65,944.13 and 155,512.41 is: 366,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,944.13 : 155,512.41 = 155,512.41 : x
  2. Step 2: Convert to fraction form
    65,944.13/155,512.41 = 155,512.41/x
  3. Step 3: Cross multiply
    65,944.13x = 155,512.41 × 155,512.41
  4. Step 4: Simplify right side
    65,944.13x = 24,184,108,497.67
  5. Step 5: Solve for x
    x = 24,184,108,497.67/65,944.13
  6. Step 6: Final answer
    x = 366,736.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.