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Finding the Third Proportional to 43,313 and 94,024

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Solution

The third proportional to 43,313 and 94,024 is: 204,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,313 : 94,024 = 94,024 : x
  2. Step 2: Convert to fraction form
    43,313/94,024 = 94,024/x
  3. Step 3: Cross multiply
    43,313x = 94,024 × 94,024
  4. Step 4: Simplify right side
    43,313x = 8,840,512,576
  5. Step 5: Solve for x
    x = 8,840,512,576/43,313
  6. Step 6: Final answer
    x = 204,107.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.