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Finding the Third Proportional to 71,692.59 and 110,956.08

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Solution

The third proportional to 71,692.59 and 110,956.08 is: 171,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692.59 : 110,956.08 = 110,956.08 : x
  2. Step 2: Convert to fraction form
    71,692.59/110,956.08 = 110,956.08/x
  3. Step 3: Cross multiply
    71,692.59x = 110,956.08 × 110,956.08
  4. Step 4: Simplify right side
    71,692.59x = 12,311,251,272.88
  5. Step 5: Solve for x
    x = 12,311,251,272.88/71,692.59
  6. Step 6: Final answer
    x = 171,722.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.