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Finding the Third Proportional to 87,662.25 and 170,950.50

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Solution

The third proportional to 87,662.25 and 170,950.50 is: 333,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,662.25 : 170,950.50 = 170,950.50 : x
  2. Step 2: Convert to fraction form
    87,662.25/170,950.50 = 170,950.50/x
  3. Step 3: Cross multiply
    87,662.25x = 170,950.50 × 170,950.50
  4. Step 4: Simplify right side
    87,662.25x = 29,224,073,450.25
  5. Step 5: Solve for x
    x = 29,224,073,450.25/87,662.25
  6. Step 6: Final answer
    x = 333,371.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.