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Finding the Third Proportional to 45,936 and 96,192

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Solution

The third proportional to 45,936 and 96,192 is: 201,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,936 : 96,192 = 96,192 : x
  2. Step 2: Convert to fraction form
    45,936/96,192 = 96,192/x
  3. Step 3: Cross multiply
    45,936x = 96,192 × 96,192
  4. Step 4: Simplify right side
    45,936x = 9,252,900,864
  5. Step 5: Solve for x
    x = 9,252,900,864/45,936
  6. Step 6: Final answer
    x = 201,430.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.