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Finding the Third Proportional to 54,966 and 83,226

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Solution

The third proportional to 54,966 and 83,226 is: 126,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,966 : 83,226 = 83,226 : x
  2. Step 2: Convert to fraction form
    54,966/83,226 = 83,226/x
  3. Step 3: Cross multiply
    54,966x = 83,226 × 83,226
  4. Step 4: Simplify right side
    54,966x = 6,926,567,076
  5. Step 5: Solve for x
    x = 6,926,567,076/54,966
  6. Step 6: Final answer
    x = 126,015.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.