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Finding the Third Proportional to 45,936 and 101,739

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Solution

The third proportional to 45,936 and 101,739 is: 225,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,936 : 101,739 = 101,739 : x
  2. Step 2: Convert to fraction form
    45,936/101,739 = 101,739/x
  3. Step 3: Cross multiply
    45,936x = 101,739 × 101,739
  4. Step 4: Simplify right side
    45,936x = 10,350,824,121
  5. Step 5: Solve for x
    x = 10,350,824,121/45,936
  6. Step 6: Final answer
    x = 225,331.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.