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Finding the Third Proportional to 81,394.88 and 175,950.56

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Solution

The third proportional to 81,394.88 and 175,950.56 is: 380,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,394.88 : 175,950.56 = 175,950.56 : x
  2. Step 2: Convert to fraction form
    81,394.88/175,950.56 = 175,950.56/x
  3. Step 3: Cross multiply
    81,394.88x = 175,950.56 × 175,950.56
  4. Step 4: Simplify right side
    81,394.88x = 30,958,600,444.07
  5. Step 5: Solve for x
    x = 30,958,600,444.07/81,394.88
  6. Step 6: Final answer
    x = 380,350.73

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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.