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Finding the Third Proportional to 116,806.50 and 175,992.75

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Solution

The third proportional to 116,806.50 and 175,992.75 is: 265,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,806.50 : 175,992.75 = 175,992.75 : x
  2. Step 2: Convert to fraction form
    116,806.50/175,992.75 = 175,992.75/x
  3. Step 3: Cross multiply
    116,806.50x = 175,992.75 × 175,992.75
  4. Step 4: Simplify right side
    116,806.50x = 30,973,448,052.56
  5. Step 5: Solve for x
    x = 30,973,448,052.56/116,806.50
  6. Step 6: Final answer
    x = 265,168.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.