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Finding the Third Proportional to 71,674.88 and 107,692.88

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Solution

The third proportional to 71,674.88 and 107,692.88 is: 161,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,674.88 : 107,692.88 = 107,692.88 : x
  2. Step 2: Convert to fraction form
    71,674.88/107,692.88 = 107,692.88/x
  3. Step 3: Cross multiply
    71,674.88x = 107,692.88 × 107,692.88
  4. Step 4: Simplify right side
    71,674.88x = 11,597,755,325.77
  5. Step 5: Solve for x
    x = 11,597,755,325.77/71,674.88
  6. Step 6: Final answer
    x = 161,810.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.