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Finding the Third Proportional to 37,073 and 80,950

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Solution

The third proportional to 37,073 and 80,950 is: 176,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,073 : 80,950 = 80,950 : x
  2. Step 2: Convert to fraction form
    37,073/80,950 = 80,950/x
  3. Step 3: Cross multiply
    37,073x = 80,950 × 80,950
  4. Step 4: Simplify right side
    37,073x = 6,552,902,500
  5. Step 5: Solve for x
    x = 6,552,902,500/37,073
  6. Step 6: Final answer
    x = 176,756.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.