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Finding the Third Proportional to 43,065 and 94,149

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Solution

The third proportional to 43,065 and 94,149 is: 205,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,065 : 94,149 = 94,149 : x
  2. Step 2: Convert to fraction form
    43,065/94,149 = 94,149/x
  3. Step 3: Cross multiply
    43,065x = 94,149 × 94,149
  4. Step 4: Simplify right side
    43,065x = 8,864,034,201
  5. Step 5: Solve for x
    x = 8,864,034,201/43,065
  6. Step 6: Final answer
    x = 205,829.19

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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.