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Finding the Third Proportional to 65,928.75 and 102,234.75

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Solution

The third proportional to 65,928.75 and 102,234.75 is: 158,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,928.75 : 102,234.75 = 102,234.75 : x
  2. Step 2: Convert to fraction form
    65,928.75/102,234.75 = 102,234.75/x
  3. Step 3: Cross multiply
    65,928.75x = 102,234.75 × 102,234.75
  4. Step 4: Simplify right side
    65,928.75x = 10,451,944,107.56
  5. Step 5: Solve for x
    x = 10,451,944,107.56/65,928.75
  6. Step 6: Final answer
    x = 158,533.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.