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Finding the Third Proportional to 117,171.75 and 174,990.75

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Solution

The third proportional to 117,171.75 and 174,990.75 is: 261,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,171.75 : 174,990.75 = 174,990.75 : x
  2. Step 2: Convert to fraction form
    117,171.75/174,990.75 = 174,990.75/x
  3. Step 3: Cross multiply
    117,171.75x = 174,990.75 × 174,990.75
  4. Step 4: Simplify right side
    117,171.75x = 30,621,762,585.56
  5. Step 5: Solve for x
    x = 30,621,762,585.56/117,171.75
  6. Step 6: Final answer
    x = 261,340.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.