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Finding the Third Proportional to 81,409.50 and 175,941

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Solution

The third proportional to 81,409.50 and 175,941 is: 380,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.50 : 175,941 = 175,941 : x
  2. Step 2: Convert to fraction form
    81,409.50/175,941 = 175,941/x
  3. Step 3: Cross multiply
    81,409.50x = 175,941 × 175,941
  4. Step 4: Simplify right side
    81,409.50x = 30,955,235,481
  5. Step 5: Solve for x
    x = 30,955,235,481/81,409.50
  6. Step 6: Final answer
    x = 380,241.07

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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.