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Finding the Third Proportional to 54,966 and 83,223

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Solution

The third proportional to 54,966 and 83,223 is: 126,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,966 : 83,223 = 83,223 : x
  2. Step 2: Convert to fraction form
    54,966/83,223 = 83,223/x
  3. Step 3: Cross multiply
    54,966x = 83,223 × 83,223
  4. Step 4: Simplify right side
    54,966x = 6,926,067,729
  5. Step 5: Solve for x
    x = 6,926,067,729/54,966
  6. Step 6: Final answer
    x = 126,006.40

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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.