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Finding the Third Proportional to 44,713 and 94,756

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Solution

The third proportional to 44,713 and 94,756 is: 200,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,713 : 94,756 = 94,756 : x
  2. Step 2: Convert to fraction form
    44,713/94,756 = 94,756/x
  3. Step 3: Cross multiply
    44,713x = 94,756 × 94,756
  4. Step 4: Simplify right side
    44,713x = 8,978,699,536
  5. Step 5: Solve for x
    x = 8,978,699,536/44,713
  6. Step 6: Final answer
    x = 200,807.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.