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Finding the Third Proportional to 52,692.19 and 80,351.25

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Solution

The third proportional to 52,692.19 and 80,351.25 is: 122,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,692.19 : 80,351.25 = 80,351.25 : x
  2. Step 2: Convert to fraction form
    52,692.19/80,351.25 = 80,351.25/x
  3. Step 3: Cross multiply
    52,692.19x = 80,351.25 × 80,351.25
  4. Step 4: Simplify right side
    52,692.19x = 6,456,323,376.56
  5. Step 5: Solve for x
    x = 6,456,323,376.56/52,692.19
  6. Step 6: Final answer
    x = 122,529.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.