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Finding the Third Proportional to 43,930 and 94,055

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Solution

The third proportional to 43,930 and 94,055 is: 201,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,930 : 94,055 = 94,055 : x
  2. Step 2: Convert to fraction form
    43,930/94,055 = 94,055/x
  3. Step 3: Cross multiply
    43,930x = 94,055 × 94,055
  4. Step 4: Simplify right side
    43,930x = 8,846,343,025
  5. Step 5: Solve for x
    x = 8,846,343,025/43,930
  6. Step 6: Final answer
    x = 201,373.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.