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Finding the Third Proportional to 41,944.50 and 92,178

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Solution

The third proportional to 41,944.50 and 92,178 is: 202,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,944.50 : 92,178 = 92,178 : x
  2. Step 2: Convert to fraction form
    41,944.50/92,178 = 92,178/x
  3. Step 3: Cross multiply
    41,944.50x = 92,178 × 92,178
  4. Step 4: Simplify right side
    41,944.50x = 8,496,783,684
  5. Step 5: Solve for x
    x = 8,496,783,684/41,944.50
  6. Step 6: Final answer
    x = 202,572.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.