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Finding the Third Proportional to 72,563.81 and 109,940.44

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Solution

The third proportional to 72,563.81 and 109,940.44 is: 166,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,563.81 : 109,940.44 = 109,940.44 : x
  2. Step 2: Convert to fraction form
    72,563.81/109,940.44 = 109,940.44/x
  3. Step 3: Cross multiply
    72,563.81x = 109,940.44 × 109,940.44
  4. Step 4: Simplify right side
    72,563.81x = 12,086,899,797.69
  5. Step 5: Solve for x
    x = 12,086,899,797.69/72,563.81
  6. Step 6: Final answer
    x = 166,569.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.