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Finding the Third Proportional to 102,687.75 and 220,542.75

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Solution

The third proportional to 102,687.75 and 220,542.75 is: 473,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,687.75 : 220,542.75 = 220,542.75 : x
  2. Step 2: Convert to fraction form
    102,687.75/220,542.75 = 220,542.75/x
  3. Step 3: Cross multiply
    102,687.75x = 220,542.75 × 220,542.75
  4. Step 4: Simplify right side
    102,687.75x = 48,639,104,577.56
  5. Step 5: Solve for x
    x = 48,639,104,577.56/102,687.75
  6. Step 6: Final answer
    x = 473,660.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.