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Finding the Third Proportional to 92,124.75 and 195,321.75

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Solution

The third proportional to 92,124.75 and 195,321.75 is: 414,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,124.75 : 195,321.75 = 195,321.75 : x
  2. Step 2: Convert to fraction form
    92,124.75/195,321.75 = 195,321.75/x
  3. Step 3: Cross multiply
    92,124.75x = 195,321.75 × 195,321.75
  4. Step 4: Simplify right side
    92,124.75x = 38,150,586,023.06
  5. Step 5: Solve for x
    x = 38,150,586,023.06/92,124.75
  6. Step 6: Final answer
    x = 414,118.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.