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Finding the Third Proportional to 44,500 and 96,694

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Solution

The third proportional to 44,500 and 96,694 is: 210,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,500 : 96,694 = 96,694 : x
  2. Step 2: Convert to fraction form
    44,500/96,694 = 96,694/x
  3. Step 3: Cross multiply
    44,500x = 96,694 × 96,694
  4. Step 4: Simplify right side
    44,500x = 9,349,729,636
  5. Step 5: Solve for x
    x = 9,349,729,636/44,500
  6. Step 6: Final answer
    x = 210,106.28

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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.