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Finding the Third Proportional to 69,441.75 and 93,876.75

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Solution

The third proportional to 69,441.75 and 93,876.75 is: 126,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,441.75 : 93,876.75 = 93,876.75 : x
  2. Step 2: Convert to fraction form
    69,441.75/93,876.75 = 93,876.75/x
  3. Step 3: Cross multiply
    69,441.75x = 93,876.75 × 93,876.75
  4. Step 4: Simplify right side
    69,441.75x = 8,812,844,190.56
  5. Step 5: Solve for x
    x = 8,812,844,190.56/69,441.75
  6. Step 6: Final answer
    x = 126,909.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.