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Finding the Third Proportional to 87,710.25 and 122,202.75

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Solution

The third proportional to 87,710.25 and 122,202.75 is: 170,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,710.25 : 122,202.75 = 122,202.75 : x
  2. Step 2: Convert to fraction form
    87,710.25/122,202.75 = 122,202.75/x
  3. Step 3: Cross multiply
    87,710.25x = 122,202.75 × 122,202.75
  4. Step 4: Simplify right side
    87,710.25x = 14,933,512,107.56
  5. Step 5: Solve for x
    x = 14,933,512,107.56/87,710.25
  6. Step 6: Final answer
    x = 170,259.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.