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Finding the Third Proportional to 83,534.16 and 120,692.44

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Solution

The third proportional to 83,534.16 and 120,692.44 is: 174,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,534.16 : 120,692.44 = 120,692.44 : x
  2. Step 2: Convert to fraction form
    83,534.16/120,692.44 = 120,692.44/x
  3. Step 3: Cross multiply
    83,534.16x = 120,692.44 × 120,692.44
  4. Step 4: Simplify right side
    83,534.16x = 14,566,664,469.69
  5. Step 5: Solve for x
    x = 14,566,664,469.69/83,534.16
  6. Step 6: Final answer
    x = 174,379.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.