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Finding the Third Proportional to 43,114 and 94,250

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Solution

The third proportional to 43,114 and 94,250 is: 206,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,114 : 94,250 = 94,250 : x
  2. Step 2: Convert to fraction form
    43,114/94,250 = 94,250/x
  3. Step 3: Cross multiply
    43,114x = 94,250 × 94,250
  4. Step 4: Simplify right side
    43,114x = 8,883,062,500
  5. Step 5: Solve for x
    x = 8,883,062,500/43,114
  6. Step 6: Final answer
    x = 206,036.61

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