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Finding the Third Proportional to 43,083 and 94,185

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Solution

The third proportional to 43,083 and 94,185 is: 205,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,083 : 94,185 = 94,185 : x
  2. Step 2: Convert to fraction form
    43,083/94,185 = 94,185/x
  3. Step 3: Cross multiply
    43,083x = 94,185 × 94,185
  4. Step 4: Simplify right side
    43,083x = 8,870,814,225
  5. Step 5: Solve for x
    x = 8,870,814,225/43,083
  6. Step 6: Final answer
    x = 205,900.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.