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Finding the Third Proportional to 69,811.50 and 150,694.50

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Solution

The third proportional to 69,811.50 and 150,694.50 is: 325,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,811.50 : 150,694.50 = 150,694.50 : x
  2. Step 2: Convert to fraction form
    69,811.50/150,694.50 = 150,694.50/x
  3. Step 3: Cross multiply
    69,811.50x = 150,694.50 × 150,694.50
  4. Step 4: Simplify right side
    69,811.50x = 22,708,832,330.25
  5. Step 5: Solve for x
    x = 22,708,832,330.25/69,811.50
  6. Step 6: Final answer
    x = 325,287.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.