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Finding the Third Proportional to 44,033 and 95,244

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Solution

The third proportional to 44,033 and 95,244 is: 206,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,033 : 95,244 = 95,244 : x
  2. Step 2: Convert to fraction form
    44,033/95,244 = 95,244/x
  3. Step 3: Cross multiply
    44,033x = 95,244 × 95,244
  4. Step 4: Simplify right side
    44,033x = 9,071,419,536
  5. Step 5: Solve for x
    x = 9,071,419,536/44,033
  6. Step 6: Final answer
    x = 206,014.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.